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Finding the Fourth Proportional to 4,138.27, 6,202.14 and 1,942.17

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Solution

The fourth proportional to 4,138.27, 6,202.14 and 1,942.17 is: 2,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.27 : 6,202.14 = 1,942.17 : x
  2. Step 2: Convert to fraction form
    4,138.27/6,202.14 = 1,942.17/x
  3. Step 3: Cross multiply
    4,138.27x = 6,202.14 × 1,942.17
  4. Step 4: Simplify right side
    4,138.27x = 12,045,610.24
  5. Step 5: Solve for x
    x = 12,045,610.24/4,138.27
  6. Step 6: Final answer
    x = 2,910.78

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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.