WASHINGTON, May 4 (Reuters) - The U.S. trade deficit jumped to a record high in March amid roaring domestic demand, which is drawing in imports, and the gap could widen further as the nation’s economic activity rebounds faster than its global rivals. The trade deficit increased 5.6% to an all-time high of $74.4 billion in March, the Commerce Department said on Tuesday. Economists polled by Reuters had forecast a $74.5 billion trade gap in March. (Reporting By Lucia Mutikani; Editing by Andrew Heavens) Our Standards: The Thomson Reuters Trust Principles.