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Finding the Fourth Proportional to 5,584.28, 7,705.68 and 3,227.24

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Solution

The fourth proportional to 5,584.28, 7,705.68 and 3,227.24 is: 4,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.28 : 7,705.68 = 3,227.24 : x
  2. Step 2: Convert to fraction form
    5,584.28/7,705.68 = 3,227.24/x
  3. Step 3: Cross multiply
    5,584.28x = 7,705.68 × 3,227.24
  4. Step 4: Simplify right side
    5,584.28x = 24,868,078.72
  5. Step 5: Solve for x
    x = 24,868,078.72/5,584.28
  6. Step 6: Final answer
    x = 4,453.23

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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.