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Finding the Fourth Proportional to 5,127.90, 7,691.31 and 1,665.15

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Solution

The fourth proportional to 5,127.90, 7,691.31 and 1,665.15 is: 2,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.90 : 7,691.31 = 1,665.15 : x
  2. Step 2: Convert to fraction form
    5,127.90/7,691.31 = 1,665.15/x
  3. Step 3: Cross multiply
    5,127.90x = 7,691.31 × 1,665.15
  4. Step 4: Simplify right side
    5,127.90x = 12,807,184.85
  5. Step 5: Solve for x
    x = 12,807,184.85/5,127.90
  6. Step 6: Final answer
    x = 2,497.55

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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.