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Finding the Fourth Proportional to 3,732.71, 5,151.24 and 2,054.25

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Solution

The fourth proportional to 3,732.71, 5,151.24 and 2,054.25 is: 2,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.71 : 5,151.24 = 2,054.25 : x
  2. Step 2: Convert to fraction form
    3,732.71/5,151.24 = 2,054.25/x
  3. Step 3: Cross multiply
    3,732.71x = 5,151.24 × 2,054.25
  4. Step 4: Simplify right side
    3,732.71x = 10,581,934.77
  5. Step 5: Solve for x
    x = 10,581,934.77/3,732.71
  6. Step 6: Final answer
    x = 2,834.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.