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Finding the Fourth Proportional to 5,286.32, 7,926 and 1,995.44

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Solution

The fourth proportional to 5,286.32, 7,926 and 1,995.44 is: 2,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.32 : 7,926 = 1,995.44 : x
  2. Step 2: Convert to fraction form
    5,286.32/7,926 = 1,995.44/x
  3. Step 3: Cross multiply
    5,286.32x = 7,926 × 1,995.44
  4. Step 4: Simplify right side
    5,286.32x = 15,815,857.44
  5. Step 5: Solve for x
    x = 15,815,857.44/5,286.32
  6. Step 6: Final answer
    x = 2,991.85

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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.