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Finding the Fourth Proportional to 3,679.80, 5,517.78 and 1,214.34

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Solution

The fourth proportional to 3,679.80, 5,517.78 and 1,214.34 is: 1,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.80 : 5,517.78 = 1,214.34 : x
  2. Step 2: Convert to fraction form
    3,679.80/5,517.78 = 1,214.34/x
  3. Step 3: Cross multiply
    3,679.80x = 5,517.78 × 1,214.34
  4. Step 4: Simplify right side
    3,679.80x = 6,700,460.97
  5. Step 5: Solve for x
    x = 6,700,460.97/3,679.80
  6. Step 6: Final answer
    x = 1,820.88

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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.