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Finding the Fourth Proportional to 3,198.98, 4,806.58 and 3,069.38

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Solution

The fourth proportional to 3,198.98, 4,806.58 and 3,069.38 is: 4,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.98 : 4,806.58 = 3,069.38 : x
  2. Step 2: Convert to fraction form
    3,198.98/4,806.58 = 3,069.38/x
  3. Step 3: Cross multiply
    3,198.98x = 4,806.58 × 3,069.38
  4. Step 4: Simplify right side
    3,198.98x = 14,753,220.52
  5. Step 5: Solve for x
    x = 14,753,220.52/3,198.98
  6. Step 6: Final answer
    x = 4,611.85

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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.