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Finding the Fourth Proportional to 6,306.75, 8,704.05 and 3,654.24

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Solution

The fourth proportional to 6,306.75, 8,704.05 and 3,654.24 is: 5,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.75 : 8,704.05 = 3,654.24 : x
  2. Step 2: Convert to fraction form
    6,306.75/8,704.05 = 3,654.24/x
  3. Step 3: Cross multiply
    6,306.75x = 8,704.05 × 3,654.24
  4. Step 4: Simplify right side
    6,306.75x = 31,806,687.67
  5. Step 5: Solve for x
    x = 31,806,687.67/6,306.75
  6. Step 6: Final answer
    x = 5,043.28

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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.