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Finding the Fourth Proportional to 3,963.83, 5,932.05 and 3,181.97

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Solution

The fourth proportional to 3,963.83, 5,932.05 and 3,181.97 is: 4,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.83 : 5,932.05 = 3,181.97 : x
  2. Step 2: Convert to fraction form
    3,963.83/5,932.05 = 3,181.97/x
  3. Step 3: Cross multiply
    3,963.83x = 5,932.05 × 3,181.97
  4. Step 4: Simplify right side
    3,963.83x = 18,875,575.48
  5. Step 5: Solve for x
    x = 18,875,575.48/3,963.83
  6. Step 6: Final answer
    x = 4,761.96

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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.