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Finding the Fourth Proportional to 5,227.78, 7,841.52 and 1,940.80

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Solution

The fourth proportional to 5,227.78, 7,841.52 and 1,940.80 is: 2,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.78 : 7,841.52 = 1,940.80 : x
  2. Step 2: Convert to fraction form
    5,227.78/7,841.52 = 1,940.80/x
  3. Step 3: Cross multiply
    5,227.78x = 7,841.52 × 1,940.80
  4. Step 4: Simplify right side
    5,227.78x = 15,218,822.02
  5. Step 5: Solve for x
    x = 15,218,822.02/5,227.78
  6. Step 6: Final answer
    x = 2,911.14

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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.