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Finding the Fourth Proportional to 3,919.38, 5,406.82 and 2,855.49

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Solution

The fourth proportional to 3,919.38, 5,406.82 and 2,855.49 is: 3,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.38 : 5,406.82 = 2,855.49 : x
  2. Step 2: Convert to fraction form
    3,919.38/5,406.82 = 2,855.49/x
  3. Step 3: Cross multiply
    3,919.38x = 5,406.82 × 2,855.49
  4. Step 4: Simplify right side
    3,919.38x = 15,439,113.30
  5. Step 5: Solve for x
    x = 15,439,113.30/3,919.38
  6. Step 6: Final answer
    x = 3,939.17

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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.