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Finding the Fourth Proportional to 5,694.66, 8,540.32 and 1,996.20

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Solution

The fourth proportional to 5,694.66, 8,540.32 and 1,996.20 is: 2,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.66 : 8,540.32 = 1,996.20 : x
  2. Step 2: Convert to fraction form
    5,694.66/8,540.32 = 1,996.20/x
  3. Step 3: Cross multiply
    5,694.66x = 8,540.32 × 1,996.20
  4. Step 4: Simplify right side
    5,694.66x = 17,048,186.78
  5. Step 5: Solve for x
    x = 17,048,186.78/5,694.66
  6. Step 6: Final answer
    x = 2,993.71

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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.