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Finding the Fourth Proportional to 3,908.87, 5,394.38 and 2,230.55

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Solution

The fourth proportional to 3,908.87, 5,394.38 and 2,230.55 is: 3,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.87 : 5,394.38 = 2,230.55 : x
  2. Step 2: Convert to fraction form
    3,908.87/5,394.38 = 2,230.55/x
  3. Step 3: Cross multiply
    3,908.87x = 5,394.38 × 2,230.55
  4. Step 4: Simplify right side
    3,908.87x = 12,032,434.31
  5. Step 5: Solve for x
    x = 12,032,434.31/3,908.87
  6. Step 6: Final answer
    x = 3,078.24

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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.