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Finding the Fourth Proportional to 3,761.42, 5,636.99 and 2,198.12

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Solution

The fourth proportional to 3,761.42, 5,636.99 and 2,198.12 is: 3,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.42 : 5,636.99 = 2,198.12 : x
  2. Step 2: Convert to fraction form
    3,761.42/5,636.99 = 2,198.12/x
  3. Step 3: Cross multiply
    3,761.42x = 5,636.99 × 2,198.12
  4. Step 4: Simplify right side
    3,761.42x = 12,390,757.77
  5. Step 5: Solve for x
    x = 12,390,757.77/3,761.42
  6. Step 6: Final answer
    x = 3,294.17

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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.