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Finding the Fourth Proportional to 3,967.56, 5,471.82 and 2,473.92

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Solution

The fourth proportional to 3,967.56, 5,471.82 and 2,473.92 is: 3,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.56 : 5,471.82 = 2,473.92 : x
  2. Step 2: Convert to fraction form
    3,967.56/5,471.82 = 2,473.92/x
  3. Step 3: Cross multiply
    3,967.56x = 5,471.82 × 2,473.92
  4. Step 4: Simplify right side
    3,967.56x = 13,536,844.93
  5. Step 5: Solve for x
    x = 13,536,844.93/3,967.56
  6. Step 6: Final answer
    x = 3,411.88

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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.