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Finding the Fourth Proportional to 3,846, 5,306.82 and 2,274.48

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Solution

The fourth proportional to 3,846, 5,306.82 and 2,274.48 is: 3,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846 : 5,306.82 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    3,846/5,306.82 = 2,274.48/x
  3. Step 3: Cross multiply
    3,846x = 5,306.82 × 2,274.48
  4. Step 4: Simplify right side
    3,846x = 12,070,255.95
  5. Step 5: Solve for x
    x = 12,070,255.95/3,846
  6. Step 6: Final answer
    x = 3,138.39

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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.