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Finding the Fourth Proportional to 3,902.86, 5,854.26 and 1,305.78

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Solution

The fourth proportional to 3,902.86, 5,854.26 and 1,305.78 is: 1,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.86 : 5,854.26 = 1,305.78 : x
  2. Step 2: Convert to fraction form
    3,902.86/5,854.26 = 1,305.78/x
  3. Step 3: Cross multiply
    3,902.86x = 5,854.26 × 1,305.78
  4. Step 4: Simplify right side
    3,902.86x = 7,644,375.62
  5. Step 5: Solve for x
    x = 7,644,375.62/3,902.86
  6. Step 6: Final answer
    x = 1,958.66

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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.