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Finding the Fourth Proportional to 4,169.32, 5,753.82 and 2,306.68

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Solution

The fourth proportional to 4,169.32, 5,753.82 and 2,306.68 is: 3,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.32 : 5,753.82 = 2,306.68 : x
  2. Step 2: Convert to fraction form
    4,169.32/5,753.82 = 2,306.68/x
  3. Step 3: Cross multiply
    4,169.32x = 5,753.82 × 2,306.68
  4. Step 4: Simplify right side
    4,169.32x = 13,272,221.52
  5. Step 5: Solve for x
    x = 13,272,221.52/4,169.32
  6. Step 6: Final answer
    x = 3,183.31

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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.