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Finding the Fourth Proportional to 3,963.12, 5,471.76 and 2,471.28

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Solution

The fourth proportional to 3,963.12, 5,471.76 and 2,471.28 is: 3,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.12 : 5,471.76 = 2,471.28 : x
  2. Step 2: Convert to fraction form
    3,963.12/5,471.76 = 2,471.28/x
  3. Step 3: Cross multiply
    3,963.12x = 5,471.76 × 2,471.28
  4. Step 4: Simplify right side
    3,963.12x = 13,522,251.05
  5. Step 5: Solve for x
    x = 13,522,251.05/3,963.12
  6. Step 6: Final answer
    x = 3,412.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.