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Finding the Fourth Proportional to 3,984.62, 5,976.94 and 2,524.20

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Solution

The fourth proportional to 3,984.62, 5,976.94 and 2,524.20 is: 3,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.62 : 5,976.94 = 2,524.20 : x
  2. Step 2: Convert to fraction form
    3,984.62/5,976.94 = 2,524.20/x
  3. Step 3: Cross multiply
    3,984.62x = 5,976.94 × 2,524.20
  4. Step 4: Simplify right side
    3,984.62x = 15,086,991.95
  5. Step 5: Solve for x
    x = 15,086,991.95/3,984.62
  6. Step 6: Final answer
    x = 3,786.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.