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Finding the Fourth Proportional to 5,844.14, 8,763.09 and 2,553.38

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Solution

The fourth proportional to 5,844.14, 8,763.09 and 2,553.38 is: 3,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.14 : 8,763.09 = 2,553.38 : x
  2. Step 2: Convert to fraction form
    5,844.14/8,763.09 = 2,553.38/x
  3. Step 3: Cross multiply
    5,844.14x = 8,763.09 × 2,553.38
  4. Step 4: Simplify right side
    5,844.14x = 22,375,498.74
  5. Step 5: Solve for x
    x = 22,375,498.74/5,844.14
  6. Step 6: Final answer
    x = 3,828.71

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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.