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Finding the Fourth Proportional to 5,154.65, 7,115.07 and 3,139.17

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Solution

The fourth proportional to 5,154.65, 7,115.07 and 3,139.17 is: 4,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.65 : 7,115.07 = 3,139.17 : x
  2. Step 2: Convert to fraction form
    5,154.65/7,115.07 = 3,139.17/x
  3. Step 3: Cross multiply
    5,154.65x = 7,115.07 × 3,139.17
  4. Step 4: Simplify right side
    5,154.65x = 22,335,414.29
  5. Step 5: Solve for x
    x = 22,335,414.29/5,154.65
  6. Step 6: Final answer
    x = 4,333.07

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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.