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Finding the Fourth Proportional to 5,711.80, 7,882.31 and 3,322.35

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Solution

The fourth proportional to 5,711.80, 7,882.31 and 3,322.35 is: 4,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.80 : 7,882.31 = 3,322.35 : x
  2. Step 2: Convert to fraction form
    5,711.80/7,882.31 = 3,322.35/x
  3. Step 3: Cross multiply
    5,711.80x = 7,882.31 × 3,322.35
  4. Step 4: Simplify right side
    5,711.80x = 26,187,736.61
  5. Step 5: Solve for x
    x = 26,187,736.61/5,711.80
  6. Step 6: Final answer
    x = 4,584.85

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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.