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Finding the Fourth Proportional to 3,982.87, 5,965.04 and 3,844.45

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Solution

The fourth proportional to 3,982.87, 5,965.04 and 3,844.45 is: 5,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.87 : 5,965.04 = 3,844.45 : x
  2. Step 2: Convert to fraction form
    3,982.87/5,965.04 = 3,844.45/x
  3. Step 3: Cross multiply
    3,982.87x = 5,965.04 × 3,844.45
  4. Step 4: Simplify right side
    3,982.87x = 22,932,278.81
  5. Step 5: Solve for x
    x = 22,932,278.81/3,982.87
  6. Step 6: Final answer
    x = 5,757.73

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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.