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Finding the Fourth Proportional to 5,174.38, 7,128.10 and 3,845.78

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Solution

The fourth proportional to 5,174.38, 7,128.10 and 3,845.78 is: 5,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.38 : 7,128.10 = 3,845.78 : x
  2. Step 2: Convert to fraction form
    5,174.38/7,128.10 = 3,845.78/x
  3. Step 3: Cross multiply
    5,174.38x = 7,128.10 × 3,845.78
  4. Step 4: Simplify right side
    5,174.38x = 27,413,104.42
  5. Step 5: Solve for x
    x = 27,413,104.42/5,174.38
  6. Step 6: Final answer
    x = 5,297.85

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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.