went screaming right past 4000

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Three U.S. soldiers killed in Baghdad attacksStory Highlights
NEW: 31 wounded in two attacks

BAGHDAD, Iraq (CNN) -- Three U.S. soldiers were killed and 31 others wounded in two rocket attacks Sunday afternoon in Baghdad, the U.S. military said.

Mehdi Army militiamen celebrate after attacking an Iraqi Army vehicle in Baghdad's Sadr City on Sunday.

An attack involving a "couple of rounds" of fire on the International Zone, also known as the Green Zone, killed two soldiers and wounded 17 others about 3:30 p.m., a military official said, declining to give the specific location of the attack for security reasons.

A separate attack about 30 minutes earlier killed one soldier and wounded 14 at a U.S. military outpost in Rustamiya in southeastern Baghdad, the military said.

Sunday's fatalities bring the death toll of U.S. troops in the Iraq war to 4,022. Nearly 30,000 others have been wounded in action.

Earlier Sunday, fighting between U.S. troops and the Mehdi Army militia loyal to Shiite cleric Muqtada al-Sadr left at least 20 dead and 52 wounded in Baghdad's Sadr City, according to an Iraqi Interior Ministry official.

The U.S. military said it had no information about the fighting.