I had a feeling this guy was a donk, hence my bets on 5th.

PokerStars Game #6297993930: HORSE (Razz Limit, $0.50/$1.00) - 2006/09/15 - 18:57:45 (ET)
Table 'Ianthe II' 8-max
Seat 1: Shmoosh ($22.35 in chips)
Seat 2: sratuain ($10.40 in chips)
Seat 3: cacardking ($11.70 in chips)
Seat 4: Leonardo5813 ($42.80 in chips)
Seat 5: WickedRiver ($19.65 in chips)
Seat 6: BinhDuc ($15.75 in chips)
Seat 7: SingleMom ($17.45 in chips)
Seat 8: beavis68 ($27.30 in chips)
sratuain: posts the ante $0.05
cacardking: posts the ante $0.05
Leonardo5813: posts the ante $0.05
WickedRiver: posts the ante $0.05
BinhDuc: posts the ante $0.05
SingleMom: posts the ante $0.05
beavis68: posts the ante $0.05
Shmoosh: posts the ante $0.05
*** 3rd STREET ***
Dealt to Shmoosh
Dealt to sratuain
Dealt to cacardking
Dealt to Leonardo5813
Dealt to WickedRiver
Dealt to BinhDuc
Dealt to SingleMom
Dealt to beavis68 [2h 7c 4s]
BinhDuc: brings-in low $0.25
SingleMom: folds
beavis68: raises $0.25 to $0.50
Shmoosh: folds
sratuain: folds
cacardking: raises $0.50 to $1
Leonardo5813: folds
WickedRiver: folds
BinhDuc: folds
beavis68: calls $0.50
*** 4th STREET ***
Dealt to cacardking
Dealt to beavis68 [2h 7c 4s]
beavis68: bets $0.50
cacardking: raises $0.50 to $1
beavis68: raises $0.50 to $1.50
cacardking: raises $0.50 to $2
Betting is capped
beavis68: calls $0.50
*** 5th STREET ***
Dealt to cacardking [5c 8h]
Dealt to beavis68 [2h 7c 4s 6d]
beavis68: bets $1
cacardking: raises $1 to $2
beavis68: raises $1 to $3
cacardking: raises $1 to $4
Betting is capped
beavis68: calls $1
*** 6th STREET ***
Dealt to cacardking [5c 8h 7h]
Dealt to beavis68 [2h 7c 4s 6d 2c]
cacardking: bets $1
beavis68: calls $1
*** RIVER ***
Dealt to beavis68 [2h 7c 4s 6d 2c 2d]
cacardking: bets $1
beavis68: raises $1 to $2
cacardking: calls $1
*** SHOW DOWN ***
beavis68: shows [2h 7c 4s 6d 2c 2d Ac] (Lo: 7,6,4,2,A)
cacardking: mucks hand
beavis68 collected $20.15 from pot
*** SUMMARY ***
Total pot $20.65 | Rake $0.50
Seat 1: Shmoosh folded on the 3rd Street (didn't bet)
Seat 2: sratuain folded on the 3rd Street (didn't bet)
Seat 3: cacardking mucked [As 5d 5c 8h 7h 9h Ks]
Seat 4: Leonardo5813 folded on the 3rd Street (didn't bet)
Seat 5: WickedRiver folded on the 3rd Street (didn't bet)
Seat 6: BinhDuc folded on the 3rd Street
Seat 7: SingleMom folded on the 3rd Street (didn't bet)
Seat 8: beavis68 showed [2h 7c 4s 6d 2c 2d Ac] and won ($20.15) with Lo: 7,6,4,2,A

I don't like the 3rd raise when you pair the deuce. I don't think you need to build the pot because he's already made his hand, so just calling will increase your action with a made hand, IMO.