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Finding the Fourth Proportional to 3,972.46, 5,961.40 and 1,375.38

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Solution

The fourth proportional to 3,972.46, 5,961.40 and 1,375.38 is: 2,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.46 : 5,961.40 = 1,375.38 : x
  2. Step 2: Convert to fraction form
    3,972.46/5,961.40 = 1,375.38/x
  3. Step 3: Cross multiply
    3,972.46x = 5,961.40 × 1,375.38
  4. Step 4: Simplify right side
    3,972.46x = 8,199,190.33
  5. Step 5: Solve for x
    x = 8,199,190.33/3,972.46
  6. Step 6: Final answer
    x = 2,064.01

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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.