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Finding the Fourth Proportional to 5,154.71, 7,732.47 and 1,456.97

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Solution

The fourth proportional to 5,154.71, 7,732.47 and 1,456.97 is: 2,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.71 : 7,732.47 = 1,456.97 : x
  2. Step 2: Convert to fraction form
    5,154.71/7,732.47 = 1,456.97/x
  3. Step 3: Cross multiply
    5,154.71x = 7,732.47 × 1,456.97
  4. Step 4: Simplify right side
    5,154.71x = 11,265,943.62
  5. Step 5: Solve for x
    x = 11,265,943.62/5,154.71
  6. Step 6: Final answer
    x = 2,185.57

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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.