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Finding the Fourth Proportional to 3,760.85, 5,190.03 and 2,082.22

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Solution

The fourth proportional to 3,760.85, 5,190.03 and 2,082.22 is: 2,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.85 : 5,190.03 = 2,082.22 : x
  2. Step 2: Convert to fraction form
    3,760.85/5,190.03 = 2,082.22/x
  3. Step 3: Cross multiply
    3,760.85x = 5,190.03 × 2,082.22
  4. Step 4: Simplify right side
    3,760.85x = 10,806,771.29
  5. Step 5: Solve for x
    x = 10,806,771.29/3,760.85
  6. Step 6: Final answer
    x = 2,873.49

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