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Finding the Fourth Proportional to 4,524.62, 6,232.82 and 3,934.13

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Solution

The fourth proportional to 4,524.62, 6,232.82 and 3,934.13 is: 5,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.62 : 6,232.82 = 3,934.13 : x
  2. Step 2: Convert to fraction form
    4,524.62/6,232.82 = 3,934.13/x
  3. Step 3: Cross multiply
    4,524.62x = 6,232.82 × 3,934.13
  4. Step 4: Simplify right side
    4,524.62x = 24,520,673.31
  5. Step 5: Solve for x
    x = 24,520,673.31/4,524.62
  6. Step 6: Final answer
    x = 5,419.39

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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.