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Finding the Fourth Proportional to 3,874.29, 5,811.77 and 1,241.86

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Solution

The fourth proportional to 3,874.29, 5,811.77 and 1,241.86 is: 1,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.29 : 5,811.77 = 1,241.86 : x
  2. Step 2: Convert to fraction form
    3,874.29/5,811.77 = 1,241.86/x
  3. Step 3: Cross multiply
    3,874.29x = 5,811.77 × 1,241.86
  4. Step 4: Simplify right side
    3,874.29x = 7,217,404.69
  5. Step 5: Solve for x
    x = 7,217,404.69/3,874.29
  6. Step 6: Final answer
    x = 1,862.90

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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.