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Finding the Fourth Proportional to 3,839.60, 5,757.24 and 1,647.20

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Solution

The fourth proportional to 3,839.60, 5,757.24 and 1,647.20 is: 2,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.60 : 5,757.24 = 1,647.20 : x
  2. Step 2: Convert to fraction form
    3,839.60/5,757.24 = 1,647.20/x
  3. Step 3: Cross multiply
    3,839.60x = 5,757.24 × 1,647.20
  4. Step 4: Simplify right side
    3,839.60x = 9,483,325.73
  5. Step 5: Solve for x
    x = 9,483,325.73/3,839.60
  6. Step 6: Final answer
    x = 2,469.87

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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.