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Finding the Fourth Proportional to 6,217.92, 8,580.84 and 3,385.38

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Solution

The fourth proportional to 6,217.92, 8,580.84 and 3,385.38 is: 4,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.92 : 8,580.84 = 3,385.38 : x
  2. Step 2: Convert to fraction form
    6,217.92/8,580.84 = 3,385.38/x
  3. Step 3: Cross multiply
    6,217.92x = 8,580.84 × 3,385.38
  4. Step 4: Simplify right side
    6,217.92x = 29,049,404.12
  5. Step 5: Solve for x
    x = 29,049,404.12/6,217.92
  6. Step 6: Final answer
    x = 4,671.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.