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Finding the Fourth Proportional to 3,794.38, 5,235.84 and 2,222.78

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Solution

The fourth proportional to 3,794.38, 5,235.84 and 2,222.78 is: 3,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.38 : 5,235.84 = 2,222.78 : x
  2. Step 2: Convert to fraction form
    3,794.38/5,235.84 = 2,222.78/x
  3. Step 3: Cross multiply
    3,794.38x = 5,235.84 × 2,222.78
  4. Step 4: Simplify right side
    3,794.38x = 11,638,094.26
  5. Step 5: Solve for x
    x = 11,638,094.26/3,794.38
  6. Step 6: Final answer
    x = 3,067.19

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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.