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Finding the Fourth Proportional to 3,879.44, 5,789.36 and 3,464.24

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Solution

The fourth proportional to 3,879.44, 5,789.36 and 3,464.24 is: 5,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.44 : 5,789.36 = 3,464.24 : x
  2. Step 2: Convert to fraction form
    3,879.44/5,789.36 = 3,464.24/x
  3. Step 3: Cross multiply
    3,879.44x = 5,789.36 × 3,464.24
  4. Step 4: Simplify right side
    3,879.44x = 20,055,692.71
  5. Step 5: Solve for x
    x = 20,055,692.71/3,879.44
  6. Step 6: Final answer
    x = 5,169.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.