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Finding the Fourth Proportional to 3,772.62, 5,204.51 and 2,446.66

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Solution

The fourth proportional to 3,772.62, 5,204.51 and 2,446.66 is: 3,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.62 : 5,204.51 = 2,446.66 : x
  2. Step 2: Convert to fraction form
    3,772.62/5,204.51 = 2,446.66/x
  3. Step 3: Cross multiply
    3,772.62x = 5,204.51 × 2,446.66
  4. Step 4: Simplify right side
    3,772.62x = 12,733,666.44
  5. Step 5: Solve for x
    x = 12,733,666.44/3,772.62
  6. Step 6: Final answer
    x = 3,375.28

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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.