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Finding the Fourth Proportional to 6,735.59, 10,105.49 and 3,450.99

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Solution

The fourth proportional to 6,735.59, 10,105.49 and 3,450.99 is: 5,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.59 : 10,105.49 = 3,450.99 : x
  2. Step 2: Convert to fraction form
    6,735.59/10,105.49 = 3,450.99/x
  3. Step 3: Cross multiply
    6,735.59x = 10,105.49 × 3,450.99
  4. Step 4: Simplify right side
    6,735.59x = 34,873,944.94
  5. Step 5: Solve for x
    x = 34,873,944.94/6,735.59
  6. Step 6: Final answer
    x = 5,177.56

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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.