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Finding the Fourth Proportional to 3,299.35, 4,944.84 and 3,213.22

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Solution

The fourth proportional to 3,299.35, 4,944.84 and 3,213.22 is: 4,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.35 : 4,944.84 = 3,213.22 : x
  2. Step 2: Convert to fraction form
    3,299.35/4,944.84 = 3,213.22/x
  3. Step 3: Cross multiply
    3,299.35x = 4,944.84 × 3,213.22
  4. Step 4: Simplify right side
    3,299.35x = 15,888,858.78
  5. Step 5: Solve for x
    x = 15,888,858.78/3,299.35
  6. Step 6: Final answer
    x = 4,815.75

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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.