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Finding the Fourth Proportional to 5,227.68, 7,836.52 and 1,939.88

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Solution

The fourth proportional to 5,227.68, 7,836.52 and 1,939.88 is: 2,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.68 : 7,836.52 = 1,939.88 : x
  2. Step 2: Convert to fraction form
    5,227.68/7,836.52 = 1,939.88/x
  3. Step 3: Cross multiply
    5,227.68x = 7,836.52 × 1,939.88
  4. Step 4: Simplify right side
    5,227.68x = 15,201,908.42
  5. Step 5: Solve for x
    x = 15,201,908.42/5,227.68
  6. Step 6: Final answer
    x = 2,907.96

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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.