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Finding the Fourth Proportional to 3,206.27, 4,812.41 and 1,976.09

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Solution

The fourth proportional to 3,206.27, 4,812.41 and 1,976.09 is: 2,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.27 : 4,812.41 = 1,976.09 : x
  2. Step 2: Convert to fraction form
    3,206.27/4,812.41 = 1,976.09/x
  3. Step 3: Cross multiply
    3,206.27x = 4,812.41 × 1,976.09
  4. Step 4: Simplify right side
    3,206.27x = 9,509,755.28
  5. Step 5: Solve for x
    x = 9,509,755.28/3,206.27
  6. Step 6: Final answer
    x = 2,965.99

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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.