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Finding the Fourth Proportional to 3,391.54, 5,086.23 and 1,082.50

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Solution

The fourth proportional to 3,391.54, 5,086.23 and 1,082.50 is: 1,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.54 : 5,086.23 = 1,082.50 : x
  2. Step 2: Convert to fraction form
    3,391.54/5,086.23 = 1,082.50/x
  3. Step 3: Cross multiply
    3,391.54x = 5,086.23 × 1,082.50
  4. Step 4: Simplify right side
    3,391.54x = 5,505,843.98
  5. Step 5: Solve for x
    x = 5,505,843.98/3,391.54
  6. Step 6: Final answer
    x = 1,623.41

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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.