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Finding the Fourth Proportional to 5,446.62, 8,169.93 and 2,524.54

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Solution

The fourth proportional to 5,446.62, 8,169.93 and 2,524.54 is: 3,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.62 : 8,169.93 = 2,524.54 : x
  2. Step 2: Convert to fraction form
    5,446.62/8,169.93 = 2,524.54/x
  3. Step 3: Cross multiply
    5,446.62x = 8,169.93 × 2,524.54
  4. Step 4: Simplify right side
    5,446.62x = 20,625,315.08
  5. Step 5: Solve for x
    x = 20,625,315.08/5,446.62
  6. Step 6: Final answer
    x = 3,786.81

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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.