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Finding the Fourth Proportional to 3,171.60, 4,372.65 and 2,287.62

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Solution

The fourth proportional to 3,171.60, 4,372.65 and 2,287.62 is: 3,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.60 : 4,372.65 = 2,287.62 : x
  2. Step 2: Convert to fraction form
    3,171.60/4,372.65 = 2,287.62/x
  3. Step 3: Cross multiply
    3,171.60x = 4,372.65 × 2,287.62
  4. Step 4: Simplify right side
    3,171.60x = 10,002,961.59
  5. Step 5: Solve for x
    x = 10,002,961.59/3,171.60
  6. Step 6: Final answer
    x = 3,153.92

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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.