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Finding the Fourth Proportional to 5,912.70, 8,161.23 and 4,144.74

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Solution

The fourth proportional to 5,912.70, 8,161.23 and 4,144.74 is: 5,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.70 : 8,161.23 = 4,144.74 : x
  2. Step 2: Convert to fraction form
    5,912.70/8,161.23 = 4,144.74/x
  3. Step 3: Cross multiply
    5,912.70x = 8,161.23 × 4,144.74
  4. Step 4: Simplify right side
    5,912.70x = 33,826,176.43
  5. Step 5: Solve for x
    x = 33,826,176.43/5,912.70
  6. Step 6: Final answer
    x = 5,720.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.