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Finding the Fourth Proportional to 5,175.44, 7,142.25 and 2,937.41

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Solution

The fourth proportional to 5,175.44, 7,142.25 and 2,937.41 is: 4,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.44 : 7,142.25 = 2,937.41 : x
  2. Step 2: Convert to fraction form
    5,175.44/7,142.25 = 2,937.41/x
  3. Step 3: Cross multiply
    5,175.44x = 7,142.25 × 2,937.41
  4. Step 4: Simplify right side
    5,175.44x = 20,979,716.57
  5. Step 5: Solve for x
    x = 20,979,716.57/5,175.44
  6. Step 6: Final answer
    x = 4,053.71

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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.