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Finding the Fourth Proportional to 3,882.40, 5,809.92 and 3,180.64

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Solution

The fourth proportional to 3,882.40, 5,809.92 and 3,180.64 is: 4,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,809.92 = 3,180.64 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,809.92 = 3,180.64/x
  3. Step 3: Cross multiply
    3,882.40x = 5,809.92 × 3,180.64
  4. Step 4: Simplify right side
    3,882.40x = 18,479,263.95
  5. Step 5: Solve for x
    x = 18,479,263.95/3,882.40
  6. Step 6: Final answer
    x = 4,759.75

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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.