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Finding the Fourth Proportional to 3,793.56, 5,234.94 and 2,223

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Solution

The fourth proportional to 3,793.56, 5,234.94 and 2,223 is: 3,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.56 : 5,234.94 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,793.56/5,234.94 = 2,223/x
  3. Step 3: Cross multiply
    3,793.56x = 5,234.94 × 2,223
  4. Step 4: Simplify right side
    3,793.56x = 11,637,271.62
  5. Step 5: Solve for x
    x = 11,637,271.62/3,793.56
  6. Step 6: Final answer
    x = 3,067.64

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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.