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Finding the Fourth Proportional to 6,286.02, 8,674.89 and 3,453.57

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Solution

The fourth proportional to 6,286.02, 8,674.89 and 3,453.57 is: 4,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.02 : 8,674.89 = 3,453.57 : x
  2. Step 2: Convert to fraction form
    6,286.02/8,674.89 = 3,453.57/x
  3. Step 3: Cross multiply
    6,286.02x = 8,674.89 × 3,453.57
  4. Step 4: Simplify right side
    6,286.02x = 29,959,325.61
  5. Step 5: Solve for x
    x = 29,959,325.61/6,286.02
  6. Step 6: Final answer
    x = 4,766.03

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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.