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Finding the Fourth Proportional to 3,944.73, 5,906.97 and 3,827.94

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Solution

The fourth proportional to 3,944.73, 5,906.97 and 3,827.94 is: 5,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.73 : 5,906.97 = 3,827.94 : x
  2. Step 2: Convert to fraction form
    3,944.73/5,906.97 = 3,827.94/x
  3. Step 3: Cross multiply
    3,944.73x = 5,906.97 × 3,827.94
  4. Step 4: Simplify right side
    3,944.73x = 22,611,526.74
  5. Step 5: Solve for x
    x = 22,611,526.74/3,944.73
  6. Step 6: Final answer
    x = 5,732.08

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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.