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Finding the Fourth Proportional to 4,149.41, 6,223.46 and 1,375.97

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Solution

The fourth proportional to 4,149.41, 6,223.46 and 1,375.97 is: 2,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.41 : 6,223.46 = 1,375.97 : x
  2. Step 2: Convert to fraction form
    4,149.41/6,223.46 = 1,375.97/x
  3. Step 3: Cross multiply
    4,149.41x = 6,223.46 × 1,375.97
  4. Step 4: Simplify right side
    4,149.41x = 8,563,256.26
  5. Step 5: Solve for x
    x = 8,563,256.26/4,149.41
  6. Step 6: Final answer
    x = 2,063.73

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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.