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Finding the Fourth Proportional to 3,924, 5,418.36 and 3,394.80

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Solution

The fourth proportional to 3,924, 5,418.36 and 3,394.80 is: 4,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,418.36 = 3,394.80 : x
  2. Step 2: Convert to fraction form
    3,924/5,418.36 = 3,394.80/x
  3. Step 3: Cross multiply
    3,924x = 5,418.36 × 3,394.80
  4. Step 4: Simplify right side
    3,924x = 18,394,248.53
  5. Step 5: Solve for x
    x = 18,394,248.53/3,924
  6. Step 6: Final answer
    x = 4,687.63

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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.