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Finding the Fourth Proportional to 3,380.58, 5,072.04 and 2,414.22

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Solution

The fourth proportional to 3,380.58, 5,072.04 and 2,414.22 is: 3,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.58 : 5,072.04 = 2,414.22 : x
  2. Step 2: Convert to fraction form
    3,380.58/5,072.04 = 2,414.22/x
  3. Step 3: Cross multiply
    3,380.58x = 5,072.04 × 2,414.22
  4. Step 4: Simplify right side
    3,380.58x = 12,245,020.41
  5. Step 5: Solve for x
    x = 12,245,020.41/3,380.58
  6. Step 6: Final answer
    x = 3,622.17

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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.