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Finding the Fourth Proportional to 3,995.92, 5,982.50 and 3,175.36

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Solution

The fourth proportional to 3,995.92, 5,982.50 and 3,175.36 is: 4,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.92 : 5,982.50 = 3,175.36 : x
  2. Step 2: Convert to fraction form
    3,995.92/5,982.50 = 3,175.36/x
  3. Step 3: Cross multiply
    3,995.92x = 5,982.50 × 3,175.36
  4. Step 4: Simplify right side
    3,995.92x = 18,996,591.20
  5. Step 5: Solve for x
    x = 18,996,591.20/3,995.92
  6. Step 6: Final answer
    x = 4,754.00

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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.