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Finding the Fourth Proportional to 6,286.56, 8,674.76 and 3,634.90

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Solution

The fourth proportional to 6,286.56, 8,674.76 and 3,634.90 is: 5,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.56 : 8,674.76 = 3,634.90 : x
  2. Step 2: Convert to fraction form
    6,286.56/8,674.76 = 3,634.90/x
  3. Step 3: Cross multiply
    6,286.56x = 8,674.76 × 3,634.90
  4. Step 4: Simplify right side
    6,286.56x = 31,531,885.12
  5. Step 5: Solve for x
    x = 31,531,885.12/6,286.56
  6. Step 6: Final answer
    x = 5,015.76

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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.