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Finding the Fourth Proportional to 3,874.33, 5,811.29 and 2,272.37

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Solution

The fourth proportional to 3,874.33, 5,811.29 and 2,272.37 is: 3,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.33 : 5,811.29 = 2,272.37 : x
  2. Step 2: Convert to fraction form
    3,874.33/5,811.29 = 2,272.37/x
  3. Step 3: Cross multiply
    3,874.33x = 5,811.29 × 2,272.37
  4. Step 4: Simplify right side
    3,874.33x = 13,205,375.17
  5. Step 5: Solve for x
    x = 13,205,375.17/3,874.33
  6. Step 6: Final answer
    x = 3,408.43

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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.