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Finding the Fourth Proportional to 3,910.71, 5,395.41 and 2,230.91

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Solution

The fourth proportional to 3,910.71, 5,395.41 and 2,230.91 is: 3,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.71 : 5,395.41 = 2,230.91 : x
  2. Step 2: Convert to fraction form
    3,910.71/5,395.41 = 2,230.91/x
  3. Step 3: Cross multiply
    3,910.71x = 5,395.41 × 2,230.91
  4. Step 4: Simplify right side
    3,910.71x = 12,036,667.38
  5. Step 5: Solve for x
    x = 12,036,667.38/3,910.71
  6. Step 6: Final answer
    x = 3,077.87

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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.