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Finding the Fourth Proportional to 3,982.64, 5,497.74 and 2,641.73

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Solution

The fourth proportional to 3,982.64, 5,497.74 and 2,641.73 is: 3,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.64 : 5,497.74 = 2,641.73 : x
  2. Step 2: Convert to fraction form
    3,982.64/5,497.74 = 2,641.73/x
  3. Step 3: Cross multiply
    3,982.64x = 5,497.74 × 2,641.73
  4. Step 4: Simplify right side
    3,982.64x = 14,523,517.20
  5. Step 5: Solve for x
    x = 14,523,517.20/3,982.64
  6. Step 6: Final answer
    x = 3,646.71

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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.