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Finding the Fourth Proportional to 5,227.38, 7,845.12 and 2,726.10

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Solution

The fourth proportional to 5,227.38, 7,845.12 and 2,726.10 is: 4,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.38 : 7,845.12 = 2,726.10 : x
  2. Step 2: Convert to fraction form
    5,227.38/7,845.12 = 2,726.10/x
  3. Step 3: Cross multiply
    5,227.38x = 7,845.12 × 2,726.10
  4. Step 4: Simplify right side
    5,227.38x = 21,386,581.63
  5. Step 5: Solve for x
    x = 21,386,581.63/5,227.38
  6. Step 6: Final answer
    x = 4,091.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.