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Finding the Fourth Proportional to 3,871.28, 5,806.83 and 949.57

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Solution

The fourth proportional to 3,871.28, 5,806.83 and 949.57 is: 1,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.28 : 5,806.83 = 949.57 : x
  2. Step 2: Convert to fraction form
    3,871.28/5,806.83 = 949.57/x
  3. Step 3: Cross multiply
    3,871.28x = 5,806.83 × 949.57
  4. Step 4: Simplify right side
    3,871.28x = 5,513,991.56
  5. Step 5: Solve for x
    x = 5,513,991.56/3,871.28
  6. Step 6: Final answer
    x = 1,424.33

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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.