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Finding the Fourth Proportional to 5,127.50, 7,691.90 and 2,007.11

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Solution

The fourth proportional to 5,127.50, 7,691.90 and 2,007.11 is: 3,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.50 : 7,691.90 = 2,007.11 : x
  2. Step 2: Convert to fraction form
    5,127.50/7,691.90 = 2,007.11/x
  3. Step 3: Cross multiply
    5,127.50x = 7,691.90 × 2,007.11
  4. Step 4: Simplify right side
    5,127.50x = 15,438,440.91
  5. Step 5: Solve for x
    x = 15,438,440.91/5,127.50
  6. Step 6: Final answer
    x = 3,010.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.