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Finding the Fourth Proportional to 5,711.57, 7,880.46 and 3,472.87

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Solution

The fourth proportional to 5,711.57, 7,880.46 and 3,472.87 is: 4,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.57 : 7,880.46 = 3,472.87 : x
  2. Step 2: Convert to fraction form
    5,711.57/7,880.46 = 3,472.87/x
  3. Step 3: Cross multiply
    5,711.57x = 7,880.46 × 3,472.87
  4. Step 4: Simplify right side
    5,711.57x = 27,367,813.12
  5. Step 5: Solve for x
    x = 27,367,813.12/5,711.57
  6. Step 6: Final answer
    x = 4,791.64

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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.