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In 2011, Marko Tomac and Ivan Cvetkovic set the Guinness World Record for the “Greatest distance driven on a single tank of diesel fuel.” They drove `1,581.88` miles through Croatia in a Volkswagen Passat 1.6 TDI BlueMotion, averaging `76.37` mpg.

In 2011, the average price, in U.S. dollars, for diesel fuel in Croatia was about `\$6.038` per gallon. At the same time, in the United States, the average price for diesel was `64\%` of what it cost in Croatia.

Estimate the cost of one gallon of diesel in the United States in 2011?