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Finding the Fourth Proportional to 3,811, 5,716.82 and 1,075

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Solution

The fourth proportional to 3,811, 5,716.82 and 1,075 is: 1,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811 : 5,716.82 = 1,075 : x
  2. Step 2: Convert to fraction form
    3,811/5,716.82 = 1,075/x
  3. Step 3: Cross multiply
    3,811x = 5,716.82 × 1,075
  4. Step 4: Simplify right side
    3,811x = 6,145,581.50
  5. Step 5: Solve for x
    x = 6,145,581.50/3,811
  6. Step 6: Final answer
    x = 1,612.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.