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Finding the Fourth Proportional to 6,286.70, 8,675.71 and 3,454.14

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Solution

The fourth proportional to 6,286.70, 8,675.71 and 3,454.14 is: 4,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.70 : 8,675.71 = 3,454.14 : x
  2. Step 2: Convert to fraction form
    6,286.70/8,675.71 = 3,454.14/x
  3. Step 3: Cross multiply
    6,286.70x = 8,675.71 × 3,454.14
  4. Step 4: Simplify right side
    6,286.70x = 29,967,084.41
  5. Step 5: Solve for x
    x = 29,967,084.41/6,286.70
  6. Step 6: Final answer
    x = 4,766.74

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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.