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Finding the Fourth Proportional to 5,227.84, 7,841.62 and 1,279.09

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Solution

The fourth proportional to 5,227.84, 7,841.62 and 1,279.09 is: 1,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.84 : 7,841.62 = 1,279.09 : x
  2. Step 2: Convert to fraction form
    5,227.84/7,841.62 = 1,279.09/x
  3. Step 3: Cross multiply
    5,227.84x = 7,841.62 × 1,279.09
  4. Step 4: Simplify right side
    5,227.84x = 10,030,137.73
  5. Step 5: Solve for x
    x = 10,030,137.73/5,227.84
  6. Step 6: Final answer
    x = 1,918.60

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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.