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Finding the Fourth Proportional to 3,793.82, 5,235.50 and 2,221.94

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Solution

The fourth proportional to 3,793.82, 5,235.50 and 2,221.94 is: 3,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.82 : 5,235.50 = 2,221.94 : x
  2. Step 2: Convert to fraction form
    3,793.82/5,235.50 = 2,221.94/x
  3. Step 3: Cross multiply
    3,793.82x = 5,235.50 × 2,221.94
  4. Step 4: Simplify right side
    3,793.82x = 11,632,966.87
  5. Step 5: Solve for x
    x = 11,632,966.87/3,793.82
  6. Step 6: Final answer
    x = 3,066.29

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1.5x scale

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.