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Finding the Fourth Proportional to 3,398.82, 5,098.98 and 2,013.42

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Solution

The fourth proportional to 3,398.82, 5,098.98 and 2,013.42 is: 3,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.82 : 5,098.98 = 2,013.42 : x
  2. Step 2: Convert to fraction form
    3,398.82/5,098.98 = 2,013.42/x
  3. Step 3: Cross multiply
    3,398.82x = 5,098.98 × 2,013.42
  4. Step 4: Simplify right side
    3,398.82x = 10,266,388.31
  5. Step 5: Solve for x
    x = 10,266,388.31/3,398.82
  6. Step 6: Final answer
    x = 3,020.57

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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.