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Finding the Fourth Proportional to 3,272.97, 4,909.46 and 2,287.71

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Solution

The fourth proportional to 3,272.97, 4,909.46 and 2,287.71 is: 3,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.97 : 4,909.46 = 2,287.71 : x
  2. Step 2: Convert to fraction form
    3,272.97/4,909.46 = 2,287.71/x
  3. Step 3: Cross multiply
    3,272.97x = 4,909.46 × 2,287.71
  4. Step 4: Simplify right side
    3,272.97x = 11,231,409.30
  5. Step 5: Solve for x
    x = 11,231,409.30/3,272.97
  6. Step 6: Final answer
    x = 3,431.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.