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Finding the Fourth Proportional to 5,195.75, 7,794.09 and 2,075

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Solution

The fourth proportional to 5,195.75, 7,794.09 and 2,075 is: 3,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.75 : 7,794.09 = 2,075 : x
  2. Step 2: Convert to fraction form
    5,195.75/7,794.09 = 2,075/x
  3. Step 3: Cross multiply
    5,195.75x = 7,794.09 × 2,075
  4. Step 4: Simplify right side
    5,195.75x = 16,172,736.75
  5. Step 5: Solve for x
    x = 16,172,736.75/5,195.75
  6. Step 6: Final answer
    x = 3,112.69

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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.