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Finding the Fourth Proportional to 3,879.65, 5,340.39 and 3,381.42

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Solution

The fourth proportional to 3,879.65, 5,340.39 and 3,381.42 is: 4,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.65 : 5,340.39 = 3,381.42 : x
  2. Step 2: Convert to fraction form
    3,879.65/5,340.39 = 3,381.42/x
  3. Step 3: Cross multiply
    3,879.65x = 5,340.39 × 3,381.42
  4. Step 4: Simplify right side
    3,879.65x = 18,058,134.26
  5. Step 5: Solve for x
    x = 18,058,134.26/3,879.65
  6. Step 6: Final answer
    x = 4,654.58

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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.