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Finding the Fourth Proportional to 3,469.22, 5,229.68 and 3,243.50

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Solution

The fourth proportional to 3,469.22, 5,229.68 and 3,243.50 is: 4,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.22 : 5,229.68 = 3,243.50 : x
  2. Step 2: Convert to fraction form
    3,469.22/5,229.68 = 3,243.50/x
  3. Step 3: Cross multiply
    3,469.22x = 5,229.68 × 3,243.50
  4. Step 4: Simplify right side
    3,469.22x = 16,962,467.08
  5. Step 5: Solve for x
    x = 16,962,467.08/3,469.22
  6. Step 6: Final answer
    x = 4,889.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.