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Finding the Fourth Proportional to 5,635.16, 8,449.85 and 3,169.31

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Solution

The fourth proportional to 5,635.16, 8,449.85 and 3,169.31 is: 4,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.16 : 8,449.85 = 3,169.31 : x
  2. Step 2: Convert to fraction form
    5,635.16/8,449.85 = 3,169.31/x
  3. Step 3: Cross multiply
    5,635.16x = 8,449.85 × 3,169.31
  4. Step 4: Simplify right side
    5,635.16x = 26,780,136.01
  5. Step 5: Solve for x
    x = 26,780,136.01/5,635.16
  6. Step 6: Final answer
    x = 4,752.33

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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.