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Finding the Fourth Proportional to 5,227.59, 7,841.25 and 1,278.84

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Solution

The fourth proportional to 5,227.59, 7,841.25 and 1,278.84 is: 1,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.59 : 7,841.25 = 1,278.84 : x
  2. Step 2: Convert to fraction form
    5,227.59/7,841.25 = 1,278.84/x
  3. Step 3: Cross multiply
    5,227.59x = 7,841.25 × 1,278.84
  4. Step 4: Simplify right side
    5,227.59x = 10,027,704.15
  5. Step 5: Solve for x
    x = 10,027,704.15/5,227.59
  6. Step 6: Final answer
    x = 1,918.23

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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.