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Finding the Fourth Proportional to 3,880.52, 5,348.21 and 3,167.79

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Solution

The fourth proportional to 3,880.52, 5,348.21 and 3,167.79 is: 4,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.52 : 5,348.21 = 3,167.79 : x
  2. Step 2: Convert to fraction form
    3,880.52/5,348.21 = 3,167.79/x
  3. Step 3: Cross multiply
    3,880.52x = 5,348.21 × 3,167.79
  4. Step 4: Simplify right side
    3,880.52x = 16,942,006.16
  5. Step 5: Solve for x
    x = 16,942,006.16/3,880.52
  6. Step 6: Final answer
    x = 4,365.91

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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.