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Finding the Fourth Proportional to 5,794.56, 8,691.84 and 3,744

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Solution

The fourth proportional to 5,794.56, 8,691.84 and 3,744 is: 5,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.56 : 8,691.84 = 3,744 : x
  2. Step 2: Convert to fraction form
    5,794.56/8,691.84 = 3,744/x
  3. Step 3: Cross multiply
    5,794.56x = 8,691.84 × 3,744
  4. Step 4: Simplify right side
    5,794.56x = 32,542,248.96
  5. Step 5: Solve for x
    x = 32,542,248.96/5,794.56
  6. Step 6: Final answer
    x = 5,616

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.