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Finding the Fourth Proportional to 6,078.11, 8,387.79 and 3,283.61

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Solution

The fourth proportional to 6,078.11, 8,387.79 and 3,283.61 is: 4,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.11 : 8,387.79 = 3,283.61 : x
  2. Step 2: Convert to fraction form
    6,078.11/8,387.79 = 3,283.61/x
  3. Step 3: Cross multiply
    6,078.11x = 8,387.79 × 3,283.61
  4. Step 4: Simplify right side
    6,078.11x = 27,542,231.12
  5. Step 5: Solve for x
    x = 27,542,231.12/6,078.11
  6. Step 6: Final answer
    x = 4,531.38

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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.