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Finding the Fourth Proportional to 3,760.94, 5,190 and 2,082.30

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Solution

The fourth proportional to 3,760.94, 5,190 and 2,082.30 is: 2,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.94 : 5,190 = 2,082.30 : x
  2. Step 2: Convert to fraction form
    3,760.94/5,190 = 2,082.30/x
  3. Step 3: Cross multiply
    3,760.94x = 5,190 × 2,082.30
  4. Step 4: Simplify right side
    3,760.94x = 10,807,137.00
  5. Step 5: Solve for x
    x = 10,807,137.00/3,760.94
  6. Step 6: Final answer
    x = 2,873.52

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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.