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Finding the Fourth Proportional to 5,734.38, 7,912.24 and 3,747.86

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Solution

The fourth proportional to 5,734.38, 7,912.24 and 3,747.86 is: 5,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.38 : 7,912.24 = 3,747.86 : x
  2. Step 2: Convert to fraction form
    5,734.38/7,912.24 = 3,747.86/x
  3. Step 3: Cross multiply
    5,734.38x = 7,912.24 × 3,747.86
  4. Step 4: Simplify right side
    5,734.38x = 29,653,967.81
  5. Step 5: Solve for x
    x = 29,653,967.81/5,734.38
  6. Step 6: Final answer
    x = 5,171.26

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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.