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Finding the Fourth Proportional to 5,102.66, 7,654.29 and 1,593.17

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Solution

The fourth proportional to 5,102.66, 7,654.29 and 1,593.17 is: 2,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.66 : 7,654.29 = 1,593.17 : x
  2. Step 2: Convert to fraction form
    5,102.66/7,654.29 = 1,593.17/x
  3. Step 3: Cross multiply
    5,102.66x = 7,654.29 × 1,593.17
  4. Step 4: Simplify right side
    5,102.66x = 12,194,585.20
  5. Step 5: Solve for x
    x = 12,194,585.20/5,102.66
  6. Step 6: Final answer
    x = 2,389.85

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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.