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Finding the Fourth Proportional to 3,082.75, 4,249.20 and 2,409.38

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Solution

The fourth proportional to 3,082.75, 4,249.20 and 2,409.38 is: 3,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.75 : 4,249.20 = 2,409.38 : x
  2. Step 2: Convert to fraction form
    3,082.75/4,249.20 = 2,409.38/x
  3. Step 3: Cross multiply
    3,082.75x = 4,249.20 × 2,409.38
  4. Step 4: Simplify right side
    3,082.75x = 10,237,937.50
  5. Step 5: Solve for x
    x = 10,237,937.50/3,082.75
  6. Step 6: Final answer
    x = 3,321.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.