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Finding the Fourth Proportional to 5,689.46, 7,851.42 and 3,171.54

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Solution

The fourth proportional to 5,689.46, 7,851.42 and 3,171.54 is: 4,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.46 : 7,851.42 = 3,171.54 : x
  2. Step 2: Convert to fraction form
    5,689.46/7,851.42 = 3,171.54/x
  3. Step 3: Cross multiply
    5,689.46x = 7,851.42 × 3,171.54
  4. Step 4: Simplify right side
    5,689.46x = 24,901,092.59
  5. Step 5: Solve for x
    x = 24,901,092.59/5,689.46
  6. Step 6: Final answer
    x = 4,376.71

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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.