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Finding the Fourth Proportional to 6,282.38, 8,676.97 and 4,182.86

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Solution

The fourth proportional to 6,282.38, 8,676.97 and 4,182.86 is: 5,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.38 : 8,676.97 = 4,182.86 : x
  2. Step 2: Convert to fraction form
    6,282.38/8,676.97 = 4,182.86/x
  3. Step 3: Cross multiply
    6,282.38x = 8,676.97 × 4,182.86
  4. Step 4: Simplify right side
    6,282.38x = 36,294,496.89
  5. Step 5: Solve for x
    x = 36,294,496.89/6,282.38
  6. Step 6: Final answer
    x = 5,777.19

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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.