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Finding the Fourth Proportional to 3,892.20, 5,371.20 and 2,399.52

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Solution

The fourth proportional to 3,892.20, 5,371.20 and 2,399.52 is: 3,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.20 : 5,371.20 = 2,399.52 : x
  2. Step 2: Convert to fraction form
    3,892.20/5,371.20 = 2,399.52/x
  3. Step 3: Cross multiply
    3,892.20x = 5,371.20 × 2,399.52
  4. Step 4: Simplify right side
    3,892.20x = 12,888,301.82
  5. Step 5: Solve for x
    x = 12,888,301.82/3,892.20
  6. Step 6: Final answer
    x = 3,311.32

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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.