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Finding the Fourth Proportional to 6,286.24, 8,674.74 and 3,769.76

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Solution

The fourth proportional to 6,286.24, 8,674.74 and 3,769.76 is: 5,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.24 : 8,674.74 = 3,769.76 : x
  2. Step 2: Convert to fraction form
    6,286.24/8,674.74 = 3,769.76/x
  3. Step 3: Cross multiply
    6,286.24x = 8,674.74 × 3,769.76
  4. Step 4: Simplify right side
    6,286.24x = 32,701,687.86
  5. Step 5: Solve for x
    x = 32,701,687.86/6,286.24
  6. Step 6: Final answer
    x = 5,202.11

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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.