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Finding the Fourth Proportional to 3,375.68, 5,063.70 and 1,067

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Solution

The fourth proportional to 3,375.68, 5,063.70 and 1,067 is: 1,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.68 : 5,063.70 = 1,067 : x
  2. Step 2: Convert to fraction form
    3,375.68/5,063.70 = 1,067/x
  3. Step 3: Cross multiply
    3,375.68x = 5,063.70 × 1,067
  4. Step 4: Simplify right side
    3,375.68x = 5,402,967.90
  5. Step 5: Solve for x
    x = 5,402,967.90/3,375.68
  6. Step 6: Final answer
    x = 1,600.56

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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.