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Finding the Fourth Proportional to 3,397.80, 5,083.82 and 2,011.88

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Solution

The fourth proportional to 3,397.80, 5,083.82 and 2,011.88 is: 3,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.80 : 5,083.82 = 2,011.88 : x
  2. Step 2: Convert to fraction form
    3,397.80/5,083.82 = 2,011.88/x
  3. Step 3: Cross multiply
    3,397.80x = 5,083.82 × 2,011.88
  4. Step 4: Simplify right side
    3,397.80x = 10,228,035.78
  5. Step 5: Solve for x
    x = 10,228,035.78/3,397.80
  6. Step 6: Final answer
    x = 3,010.19

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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.