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Finding the Fourth Proportional to 3,839.27, 5,751.38 and 1,991.60

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Solution

The fourth proportional to 3,839.27, 5,751.38 and 1,991.60 is: 2,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.27 : 5,751.38 = 1,991.60 : x
  2. Step 2: Convert to fraction form
    3,839.27/5,751.38 = 1,991.60/x
  3. Step 3: Cross multiply
    3,839.27x = 5,751.38 × 1,991.60
  4. Step 4: Simplify right side
    3,839.27x = 11,454,409.69
  5. Step 5: Solve for x
    x = 11,454,409.69/3,839.27
  6. Step 6: Final answer
    x = 2,983.49

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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.