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Finding the Fourth Proportional to 3,279.71, 4,523.68 and 3,171.24

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Solution

The fourth proportional to 3,279.71, 4,523.68 and 3,171.24 is: 4,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.71 : 4,523.68 = 3,171.24 : x
  2. Step 2: Convert to fraction form
    3,279.71/4,523.68 = 3,171.24/x
  3. Step 3: Cross multiply
    3,279.71x = 4,523.68 × 3,171.24
  4. Step 4: Simplify right side
    3,279.71x = 14,345,674.96
  5. Step 5: Solve for x
    x = 14,345,674.96/3,279.71
  6. Step 6: Final answer
    x = 4,374.07

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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.