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Finding the Fourth Proportional to 5,006.29, 7,507.16 and 2,665.70

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Solution

The fourth proportional to 5,006.29, 7,507.16 and 2,665.70 is: 3,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.29 : 7,507.16 = 2,665.70 : x
  2. Step 2: Convert to fraction form
    5,006.29/7,507.16 = 2,665.70/x
  3. Step 3: Cross multiply
    5,006.29x = 7,507.16 × 2,665.70
  4. Step 4: Simplify right side
    5,006.29x = 20,011,836.41
  5. Step 5: Solve for x
    x = 20,011,836.41/5,006.29
  6. Step 6: Final answer
    x = 3,997.34

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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.