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Finding the Fourth Proportional to 3,226, 4,450.96 and 2,229.76

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Solution

The fourth proportional to 3,226, 4,450.96 and 2,229.76 is: 3,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,450.96 = 2,229.76 : x
  2. Step 2: Convert to fraction form
    3,226/4,450.96 = 2,229.76/x
  3. Step 3: Cross multiply
    3,226x = 4,450.96 × 2,229.76
  4. Step 4: Simplify right side
    3,226x = 9,924,572.57
  5. Step 5: Solve for x
    x = 9,924,572.57/3,226
  6. Step 6: Final answer
    x = 3,076.43

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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.