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Finding the Fourth Proportional to 3,912.56, 5,868.67 and 1,139.19

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Solution

The fourth proportional to 3,912.56, 5,868.67 and 1,139.19 is: 1,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.56 : 5,868.67 = 1,139.19 : x
  2. Step 2: Convert to fraction form
    3,912.56/5,868.67 = 1,139.19/x
  3. Step 3: Cross multiply
    3,912.56x = 5,868.67 × 1,139.19
  4. Step 4: Simplify right side
    3,912.56x = 6,685,530.18
  5. Step 5: Solve for x
    x = 6,685,530.18/3,912.56
  6. Step 6: Final answer
    x = 1,708.74

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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.