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Finding the Fourth Proportional to 5,981.97, 8,972.96 and 2,691.22

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Solution

The fourth proportional to 5,981.97, 8,972.96 and 2,691.22 is: 4,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.97 : 8,972.96 = 2,691.22 : x
  2. Step 2: Convert to fraction form
    5,981.97/8,972.96 = 2,691.22/x
  3. Step 3: Cross multiply
    5,981.97x = 8,972.96 × 2,691.22
  4. Step 4: Simplify right side
    5,981.97x = 24,148,173.52
  5. Step 5: Solve for x
    x = 24,148,173.52/5,981.97
  6. Step 6: Final answer
    x = 4,036.83

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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.