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Finding the Fourth Proportional to 3,208.86, 4,806.72 and 2,219.22

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Solution

The fourth proportional to 3,208.86, 4,806.72 and 2,219.22 is: 3,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.86 : 4,806.72 = 2,219.22 : x
  2. Step 2: Convert to fraction form
    3,208.86/4,806.72 = 2,219.22/x
  3. Step 3: Cross multiply
    3,208.86x = 4,806.72 × 2,219.22
  4. Step 4: Simplify right side
    3,208.86x = 10,667,169.16
  5. Step 5: Solve for x
    x = 10,667,169.16/3,208.86
  6. Step 6: Final answer
    x = 3,324.29

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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.