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Finding the Fourth Proportional to 5,711.87, 7,882.20 and 3,322.04

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Solution

The fourth proportional to 5,711.87, 7,882.20 and 3,322.04 is: 4,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.87 : 7,882.20 = 3,322.04 : x
  2. Step 2: Convert to fraction form
    5,711.87/7,882.20 = 3,322.04/x
  3. Step 3: Cross multiply
    5,711.87x = 7,882.20 × 3,322.04
  4. Step 4: Simplify right side
    5,711.87x = 26,184,944.28
  5. Step 5: Solve for x
    x = 26,184,944.28/5,711.87
  6. Step 6: Final answer
    x = 4,584.31

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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.