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Finding the Fourth Proportional to 5,067.48, 7,581.24 and 3,838.44

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Solution

The fourth proportional to 5,067.48, 7,581.24 and 3,838.44 is: 5,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.48 : 7,581.24 = 3,838.44 : x
  2. Step 2: Convert to fraction form
    5,067.48/7,581.24 = 3,838.44/x
  3. Step 3: Cross multiply
    5,067.48x = 7,581.24 × 3,838.44
  4. Step 4: Simplify right side
    5,067.48x = 29,100,134.87
  5. Step 5: Solve for x
    x = 29,100,134.87/5,067.48
  6. Step 6: Final answer
    x = 5,742.53

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1.5x scale

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.