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Finding the Fourth Proportional to 3,879.54, 5,819.32 and 1,414.36

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Solution

The fourth proportional to 3,879.54, 5,819.32 and 1,414.36 is: 2,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.54 : 5,819.32 = 1,414.36 : x
  2. Step 2: Convert to fraction form
    3,879.54/5,819.32 = 1,414.36/x
  3. Step 3: Cross multiply
    3,879.54x = 5,819.32 × 1,414.36
  4. Step 4: Simplify right side
    3,879.54x = 8,230,589.74
  5. Step 5: Solve for x
    x = 8,230,589.74/3,879.54
  6. Step 6: Final answer
    x = 2,121.54

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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.