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Finding the Fourth Proportional to 3,932.56, 5,902.49 and 1,986.13

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Solution

The fourth proportional to 3,932.56, 5,902.49 and 1,986.13 is: 2,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.56 : 5,902.49 = 1,986.13 : x
  2. Step 2: Convert to fraction form
    3,932.56/5,902.49 = 1,986.13/x
  3. Step 3: Cross multiply
    3,932.56x = 5,902.49 × 1,986.13
  4. Step 4: Simplify right side
    3,932.56x = 11,723,112.46
  5. Step 5: Solve for x
    x = 11,723,112.46/3,932.56
  6. Step 6: Final answer
    x = 2,981.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.