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Finding the Fourth Proportional to 5,505.25, 8,257.92 and 2,427.25

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Solution

The fourth proportional to 5,505.25, 8,257.92 and 2,427.25 is: 3,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.25 : 8,257.92 = 2,427.25 : x
  2. Step 2: Convert to fraction form
    5,505.25/8,257.92 = 2,427.25/x
  3. Step 3: Cross multiply
    5,505.25x = 8,257.92 × 2,427.25
  4. Step 4: Simplify right side
    5,505.25x = 20,044,036.32
  5. Step 5: Solve for x
    x = 20,044,036.32/5,505.25
  6. Step 6: Final answer
    x = 3,640.89

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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.