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Finding the Fourth Proportional to 5,132.47, 7,691.99 and 2,319.21

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Solution

The fourth proportional to 5,132.47, 7,691.99 and 2,319.21 is: 3,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.47 : 7,691.99 = 2,319.21 : x
  2. Step 2: Convert to fraction form
    5,132.47/7,691.99 = 2,319.21/x
  3. Step 3: Cross multiply
    5,132.47x = 7,691.99 × 2,319.21
  4. Step 4: Simplify right side
    5,132.47x = 17,839,340.13
  5. Step 5: Solve for x
    x = 17,839,340.13/5,132.47
  6. Step 6: Final answer
    x = 3,475.78

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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.