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Finding the Fourth Proportional to 3,906.77, 5,392.25 and 2,394.79

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Solution

The fourth proportional to 3,906.77, 5,392.25 and 2,394.79 is: 3,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.77 : 5,392.25 = 2,394.79 : x
  2. Step 2: Convert to fraction form
    3,906.77/5,392.25 = 2,394.79/x
  3. Step 3: Cross multiply
    3,906.77x = 5,392.25 × 2,394.79
  4. Step 4: Simplify right side
    3,906.77x = 12,913,306.38
  5. Step 5: Solve for x
    x = 12,913,306.38/3,906.77
  6. Step 6: Final answer
    x = 3,305.37

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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.