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Finding the Fourth Proportional to 3,434.96, 5,149.24 and 1,243.17

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Solution

The fourth proportional to 3,434.96, 5,149.24 and 1,243.17 is: 1,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.96 : 5,149.24 = 1,243.17 : x
  2. Step 2: Convert to fraction form
    3,434.96/5,149.24 = 1,243.17/x
  3. Step 3: Cross multiply
    3,434.96x = 5,149.24 × 1,243.17
  4. Step 4: Simplify right side
    3,434.96x = 6,401,377.58
  5. Step 5: Solve for x
    x = 6,401,377.58/3,434.96
  6. Step 6: Final answer
    x = 1,863.59

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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.