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Finding the Fourth Proportional to 5,273.28, 7,909.92 and 3,715.14

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Solution

The fourth proportional to 5,273.28, 7,909.92 and 3,715.14 is: 5,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.28 : 7,909.92 = 3,715.14 : x
  2. Step 2: Convert to fraction form
    5,273.28/7,909.92 = 3,715.14/x
  3. Step 3: Cross multiply
    5,273.28x = 7,909.92 × 3,715.14
  4. Step 4: Simplify right side
    5,273.28x = 29,386,460.19
  5. Step 5: Solve for x
    x = 29,386,460.19/5,273.28
  6. Step 6: Final answer
    x = 5,572.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.