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Finding the Fourth Proportional to 3,944.36, 5,915.97 and 1,171.32

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Solution

The fourth proportional to 3,944.36, 5,915.97 and 1,171.32 is: 1,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.36 : 5,915.97 = 1,171.32 : x
  2. Step 2: Convert to fraction form
    3,944.36/5,915.97 = 1,171.32/x
  3. Step 3: Cross multiply
    3,944.36x = 5,915.97 × 1,171.32
  4. Step 4: Simplify right side
    3,944.36x = 6,929,493.98
  5. Step 5: Solve for x
    x = 6,929,493.98/3,944.36
  6. Step 6: Final answer
    x = 1,756.81

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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.