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Finding the Fourth Proportional to 5,496.22, 7,584.80 and 3,227.12

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Solution

The fourth proportional to 5,496.22, 7,584.80 and 3,227.12 is: 4,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.22 : 7,584.80 = 3,227.12 : x
  2. Step 2: Convert to fraction form
    5,496.22/7,584.80 = 3,227.12/x
  3. Step 3: Cross multiply
    5,496.22x = 7,584.80 × 3,227.12
  4. Step 4: Simplify right side
    5,496.22x = 24,477,062.60
  5. Step 5: Solve for x
    x = 24,477,062.60/5,496.22
  6. Step 6: Final answer
    x = 4,453.43

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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.