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Finding the Fourth Proportional to 6,105.38, 8,425.42 and 3,452.73

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Solution

The fourth proportional to 6,105.38, 8,425.42 and 3,452.73 is: 4,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.38 : 8,425.42 = 3,452.73 : x
  2. Step 2: Convert to fraction form
    6,105.38/8,425.42 = 3,452.73/x
  3. Step 3: Cross multiply
    6,105.38x = 8,425.42 × 3,452.73
  4. Step 4: Simplify right side
    6,105.38x = 29,090,660.17
  5. Step 5: Solve for x
    x = 29,090,660.17/6,105.38
  6. Step 6: Final answer
    x = 4,764.76

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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.