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Finding the Fourth Proportional to 3,398.97, 5,108.07 and 2,012.55

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Solution

The fourth proportional to 3,398.97, 5,108.07 and 2,012.55 is: 3,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.97 : 5,108.07 = 2,012.55 : x
  2. Step 2: Convert to fraction form
    3,398.97/5,108.07 = 2,012.55/x
  3. Step 3: Cross multiply
    3,398.97x = 5,108.07 × 2,012.55
  4. Step 4: Simplify right side
    3,398.97x = 10,280,246.28
  5. Step 5: Solve for x
    x = 10,280,246.28/3,398.97
  6. Step 6: Final answer
    x = 3,024.52

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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.