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Finding the Fourth Proportional to 3,538.72, 5,272.52 and 3,340

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Solution

The fourth proportional to 3,538.72, 5,272.52 and 3,340 is: 4,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.72 : 5,272.52 = 3,340 : x
  2. Step 2: Convert to fraction form
    3,538.72/5,272.52 = 3,340/x
  3. Step 3: Cross multiply
    3,538.72x = 5,272.52 × 3,340
  4. Step 4: Simplify right side
    3,538.72x = 17,610,216.80
  5. Step 5: Solve for x
    x = 17,610,216.80/3,538.72
  6. Step 6: Final answer
    x = 4,976.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.