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Finding the Fourth Proportional to 3,414.83, 5,114.03 and 1,949.54

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Solution

The fourth proportional to 3,414.83, 5,114.03 and 1,949.54 is: 2,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.83 : 5,114.03 = 1,949.54 : x
  2. Step 2: Convert to fraction form
    3,414.83/5,114.03 = 1,949.54/x
  3. Step 3: Cross multiply
    3,414.83x = 5,114.03 × 1,949.54
  4. Step 4: Simplify right side
    3,414.83x = 9,969,970.73
  5. Step 5: Solve for x
    x = 9,969,970.73/3,414.83
  6. Step 6: Final answer
    x = 2,919.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.