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Finding the Fourth Proportional to 5,233.38, 7,222.07 and 2,843.35

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Solution

The fourth proportional to 5,233.38, 7,222.07 and 2,843.35 is: 3,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.38 : 7,222.07 = 2,843.35 : x
  2. Step 2: Convert to fraction form
    5,233.38/7,222.07 = 2,843.35/x
  3. Step 3: Cross multiply
    5,233.38x = 7,222.07 × 2,843.35
  4. Step 4: Simplify right side
    5,233.38x = 20,534,872.73
  5. Step 5: Solve for x
    x = 20,534,872.73/5,233.38
  6. Step 6: Final answer
    x = 3,923.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.