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Finding the Fourth Proportional to 3,679.74, 5,517.78 and 1,214.28

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Solution

The fourth proportional to 3,679.74, 5,517.78 and 1,214.28 is: 1,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.74 : 5,517.78 = 1,214.28 : x
  2. Step 2: Convert to fraction form
    3,679.74/5,517.78 = 1,214.28/x
  3. Step 3: Cross multiply
    3,679.74x = 5,517.78 × 1,214.28
  4. Step 4: Simplify right side
    3,679.74x = 6,700,129.90
  5. Step 5: Solve for x
    x = 6,700,129.90/3,679.74
  6. Step 6: Final answer
    x = 1,820.82

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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.