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Finding the Fourth Proportional to 5,896.39, 8,138.18 and 3,380.19

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Solution

The fourth proportional to 5,896.39, 8,138.18 and 3,380.19 is: 4,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.39 : 8,138.18 = 3,380.19 : x
  2. Step 2: Convert to fraction form
    5,896.39/8,138.18 = 3,380.19/x
  3. Step 3: Cross multiply
    5,896.39x = 8,138.18 × 3,380.19
  4. Step 4: Simplify right side
    5,896.39x = 27,508,594.65
  5. Step 5: Solve for x
    x = 27,508,594.65/5,896.39
  6. Step 6: Final answer
    x = 4,665.33

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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.