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Finding the Fourth Proportional to 3,296.14, 4,944.23 and 1,105.04

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Solution

The fourth proportional to 3,296.14, 4,944.23 and 1,105.04 is: 1,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.14 : 4,944.23 = 1,105.04 : x
  2. Step 2: Convert to fraction form
    3,296.14/4,944.23 = 1,105.04/x
  3. Step 3: Cross multiply
    3,296.14x = 4,944.23 × 1,105.04
  4. Step 4: Simplify right side
    3,296.14x = 5,463,571.92
  5. Step 5: Solve for x
    x = 5,463,571.92/3,296.14
  6. Step 6: Final answer
    x = 1,657.57

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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.