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Finding the Fourth Proportional to 5,851.31, 8,074.92 and 3,198.71

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Solution

The fourth proportional to 5,851.31, 8,074.92 and 3,198.71 is: 4,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.31 : 8,074.92 = 3,198.71 : x
  2. Step 2: Convert to fraction form
    5,851.31/8,074.92 = 3,198.71/x
  3. Step 3: Cross multiply
    5,851.31x = 8,074.92 × 3,198.71
  4. Step 4: Simplify right side
    5,851.31x = 25,829,286.98
  5. Step 5: Solve for x
    x = 25,829,286.98/5,851.31
  6. Step 6: Final answer
    x = 4,414.28

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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.