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Finding the Fourth Proportional to 3,949.26, 5,923.42 and 1,175.92

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Solution

The fourth proportional to 3,949.26, 5,923.42 and 1,175.92 is: 1,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.26 : 5,923.42 = 1,175.92 : x
  2. Step 2: Convert to fraction form
    3,949.26/5,923.42 = 1,175.92/x
  3. Step 3: Cross multiply
    3,949.26x = 5,923.42 × 1,175.92
  4. Step 4: Simplify right side
    3,949.26x = 6,965,468.05
  5. Step 5: Solve for x
    x = 6,965,468.05/3,949.26
  6. Step 6: Final answer
    x = 1,763.74

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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.