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Finding the Fourth Proportional to 3,944.38, 5,432.17 and 3,858.27

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Solution

The fourth proportional to 3,944.38, 5,432.17 and 3,858.27 is: 5,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.38 : 5,432.17 = 3,858.27 : x
  2. Step 2: Convert to fraction form
    3,944.38/5,432.17 = 3,858.27/x
  3. Step 3: Cross multiply
    3,944.38x = 5,432.17 × 3,858.27
  4. Step 4: Simplify right side
    3,944.38x = 20,958,778.55
  5. Step 5: Solve for x
    x = 20,958,778.55/3,944.38
  6. Step 6: Final answer
    x = 5,313.58

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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.