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Finding the Fourth Proportional to 3,760.93, 5,190.14 and 2,082.34

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Solution

The fourth proportional to 3,760.93, 5,190.14 and 2,082.34 is: 2,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.93 : 5,190.14 = 2,082.34 : x
  2. Step 2: Convert to fraction form
    3,760.93/5,190.14 = 2,082.34/x
  3. Step 3: Cross multiply
    3,760.93x = 5,190.14 × 2,082.34
  4. Step 4: Simplify right side
    3,760.93x = 10,807,647.82
  5. Step 5: Solve for x
    x = 10,807,647.82/3,760.93
  6. Step 6: Final answer
    x = 2,873.66

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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.