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Finding the Fourth Proportional to 6,100.43, 8,417.90 and 3,447.83

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Solution

The fourth proportional to 6,100.43, 8,417.90 and 3,447.83 is: 4,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.43 : 8,417.90 = 3,447.83 : x
  2. Step 2: Convert to fraction form
    6,100.43/8,417.90 = 3,447.83/x
  3. Step 3: Cross multiply
    6,100.43x = 8,417.90 × 3,447.83
  4. Step 4: Simplify right side
    6,100.43x = 29,023,488.16
  5. Step 5: Solve for x
    x = 29,023,488.16/6,100.43
  6. Step 6: Final answer
    x = 4,757.61

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