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Finding the Fourth Proportional to 3,679.42, 5,517.96 and 1,213.78

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Solution

The fourth proportional to 3,679.42, 5,517.96 and 1,213.78 is: 1,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.42 : 5,517.96 = 1,213.78 : x
  2. Step 2: Convert to fraction form
    3,679.42/5,517.96 = 1,213.78/x
  3. Step 3: Cross multiply
    3,679.42x = 5,517.96 × 1,213.78
  4. Step 4: Simplify right side
    3,679.42x = 6,697,589.49
  5. Step 5: Solve for x
    x = 6,697,589.49/3,679.42
  6. Step 6: Final answer
    x = 1,820.28

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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.