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Finding the Fourth Proportional to 3,680.96, 5,522.40 and 2,229.44

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Solution

The fourth proportional to 3,680.96, 5,522.40 and 2,229.44 is: 3,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.96 : 5,522.40 = 2,229.44 : x
  2. Step 2: Convert to fraction form
    3,680.96/5,522.40 = 2,229.44/x
  3. Step 3: Cross multiply
    3,680.96x = 5,522.40 × 2,229.44
  4. Step 4: Simplify right side
    3,680.96x = 12,311,859.46
  5. Step 5: Solve for x
    x = 12,311,859.46/3,680.96
  6. Step 6: Final answer
    x = 3,344.74

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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.