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Finding the Fourth Proportional to 6,286.86, 8,673.48 and 3,769.02

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Solution

The fourth proportional to 6,286.86, 8,673.48 and 3,769.02 is: 5,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.86 : 8,673.48 = 3,769.02 : x
  2. Step 2: Convert to fraction form
    6,286.86/8,673.48 = 3,769.02/x
  3. Step 3: Cross multiply
    6,286.86x = 8,673.48 × 3,769.02
  4. Step 4: Simplify right side
    6,286.86x = 32,690,519.59
  5. Step 5: Solve for x
    x = 32,690,519.59/6,286.86
  6. Step 6: Final answer
    x = 5,199.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.