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Finding the Fourth Proportional to 5,947.46, 8,921.17 and 3,497.87

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Solution

The fourth proportional to 5,947.46, 8,921.17 and 3,497.87 is: 5,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.46 : 8,921.17 = 3,497.87 : x
  2. Step 2: Convert to fraction form
    5,947.46/8,921.17 = 3,497.87/x
  3. Step 3: Cross multiply
    5,947.46x = 8,921.17 × 3,497.87
  4. Step 4: Simplify right side
    5,947.46x = 31,205,092.91
  5. Step 5: Solve for x
    x = 31,205,092.91/5,947.46
  6. Step 6: Final answer
    x = 5,246.79

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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.