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Finding the Fourth Proportional to 3,778.90, 5,213.09 and 2,452.12

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Solution

The fourth proportional to 3,778.90, 5,213.09 and 2,452.12 is: 3,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.90 : 5,213.09 = 2,452.12 : x
  2. Step 2: Convert to fraction form
    3,778.90/5,213.09 = 2,452.12/x
  3. Step 3: Cross multiply
    3,778.90x = 5,213.09 × 2,452.12
  4. Step 4: Simplify right side
    3,778.90x = 12,783,115.35
  5. Step 5: Solve for x
    x = 12,783,115.35/3,778.90
  6. Step 6: Final answer
    x = 3,382.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.