The U.S., who had won the last three world titles, led early on but a superb second leg by Tatyana Firova had the Russians in front and the crowd roaring.
Kseniya Ryzhova drove home the advantage and individual bronze medallist Antonina Krivoshapka held off a determined run by Francena McCorory to take gold in 3:20.19.
The U.S. took silver in 3:20.41 while individual champion Christine Ohuruogu brought Britain home for bronze in 3:22.61.
(Editing by Pritha Sarkar)
