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Finding the Fourth Proportional to 5,687.46, 8,520.12 and 3,214.80

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Solution

The fourth proportional to 5,687.46, 8,520.12 and 3,214.80 is: 4,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.46 : 8,520.12 = 3,214.80 : x
  2. Step 2: Convert to fraction form
    5,687.46/8,520.12 = 3,214.80/x
  3. Step 3: Cross multiply
    5,687.46x = 8,520.12 × 3,214.80
  4. Step 4: Simplify right side
    5,687.46x = 27,390,481.78
  5. Step 5: Solve for x
    x = 27,390,481.78/5,687.46
  6. Step 6: Final answer
    x = 4,815.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.