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Finding the Fourth Proportional to 5,227.72, 7,841.99 and 2,266.36

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Solution

The fourth proportional to 5,227.72, 7,841.99 and 2,266.36 is: 3,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.72 : 7,841.99 = 2,266.36 : x
  2. Step 2: Convert to fraction form
    5,227.72/7,841.99 = 2,266.36/x
  3. Step 3: Cross multiply
    5,227.72x = 7,841.99 × 2,266.36
  4. Step 4: Simplify right side
    5,227.72x = 17,772,772.46
  5. Step 5: Solve for x
    x = 17,772,772.46/5,227.72
  6. Step 6: Final answer
    x = 3,399.72

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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.