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Finding the Fourth Proportional to 3,952.46, 5,453.72 and 2,273.26

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Solution

The fourth proportional to 3,952.46, 5,453.72 and 2,273.26 is: 3,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.46 : 5,453.72 = 2,273.26 : x
  2. Step 2: Convert to fraction form
    3,952.46/5,453.72 = 2,273.26/x
  3. Step 3: Cross multiply
    3,952.46x = 5,453.72 × 2,273.26
  4. Step 4: Simplify right side
    3,952.46x = 12,397,723.53
  5. Step 5: Solve for x
    x = 12,397,723.53/3,952.46
  6. Step 6: Final answer
    x = 3,136.71

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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.