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Finding the Fourth Proportional to 3,761, 5,189.88 and 2,082.28

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Solution

The fourth proportional to 3,761, 5,189.88 and 2,082.28 is: 2,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761 : 5,189.88 = 2,082.28 : x
  2. Step 2: Convert to fraction form
    3,761/5,189.88 = 2,082.28/x
  3. Step 3: Cross multiply
    3,761x = 5,189.88 × 2,082.28
  4. Step 4: Simplify right side
    3,761x = 10,806,783.33
  5. Step 5: Solve for x
    x = 10,806,783.33/3,761
  6. Step 6: Final answer
    x = 2,873.38

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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.