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Finding the Fourth Proportional to 3,919, 5,408.22 and 2,263

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Solution

The fourth proportional to 3,919, 5,408.22 and 2,263 is: 3,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 5,408.22 = 2,263 : x
  2. Step 2: Convert to fraction form
    3,919/5,408.22 = 2,263/x
  3. Step 3: Cross multiply
    3,919x = 5,408.22 × 2,263
  4. Step 4: Simplify right side
    3,919x = 12,238,801.86
  5. Step 5: Solve for x
    x = 12,238,801.86/3,919
  6. Step 6: Final answer
    x = 3,122.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.