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Finding the Fourth Proportional to 3,399.95, 5,097.38 and 2,082.29

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Solution

The fourth proportional to 3,399.95, 5,097.38 and 2,082.29 is: 3,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.95 : 5,097.38 = 2,082.29 : x
  2. Step 2: Convert to fraction form
    3,399.95/5,097.38 = 2,082.29/x
  3. Step 3: Cross multiply
    3,399.95x = 5,097.38 × 2,082.29
  4. Step 4: Simplify right side
    3,399.95x = 10,614,187.50
  5. Step 5: Solve for x
    x = 10,614,187.50/3,399.95
  6. Step 6: Final answer
    x = 3,121.86

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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.