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Finding the Fourth Proportional to 5,675.46, 8,502.12 and 3,202.80

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Solution

The fourth proportional to 5,675.46, 8,502.12 and 3,202.80 is: 4,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.46 : 8,502.12 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    5,675.46/8,502.12 = 3,202.80/x
  3. Step 3: Cross multiply
    5,675.46x = 8,502.12 × 3,202.80
  4. Step 4: Simplify right side
    5,675.46x = 27,230,589.94
  5. Step 5: Solve for x
    x = 27,230,589.94/5,675.46
  6. Step 6: Final answer
    x = 4,797.95

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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.