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Finding the Fourth Proportional to 3,760.78, 5,189.75 and 2,082.19

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Solution

The fourth proportional to 3,760.78, 5,189.75 and 2,082.19 is: 2,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.78 : 5,189.75 = 2,082.19 : x
  2. Step 2: Convert to fraction form
    3,760.78/5,189.75 = 2,082.19/x
  3. Step 3: Cross multiply
    3,760.78x = 5,189.75 × 2,082.19
  4. Step 4: Simplify right side
    3,760.78x = 10,806,009.19
  5. Step 5: Solve for x
    x = 10,806,009.19/3,760.78
  6. Step 6: Final answer
    x = 2,873.35

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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.