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Finding the Fourth Proportional to 3,841.07, 5,761.71 and 1,067.75

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Solution

The fourth proportional to 3,841.07, 5,761.71 and 1,067.75 is: 1,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.07 : 5,761.71 = 1,067.75 : x
  2. Step 2: Convert to fraction form
    3,841.07/5,761.71 = 1,067.75/x
  3. Step 3: Cross multiply
    3,841.07x = 5,761.71 × 1,067.75
  4. Step 4: Simplify right side
    3,841.07x = 6,152,065.85
  5. Step 5: Solve for x
    x = 6,152,065.85/3,841.07
  6. Step 6: Final answer
    x = 1,601.65

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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.