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Finding the Fourth Proportional to 3,700.90, 5,107.20 and 2,022.33

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Solution

The fourth proportional to 3,700.90, 5,107.20 and 2,022.33 is: 2,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.90 : 5,107.20 = 2,022.33 : x
  2. Step 2: Convert to fraction form
    3,700.90/5,107.20 = 2,022.33/x
  3. Step 3: Cross multiply
    3,700.90x = 5,107.20 × 2,022.33
  4. Step 4: Simplify right side
    3,700.90x = 10,328,443.78
  5. Step 5: Solve for x
    x = 10,328,443.78/3,700.90
  6. Step 6: Final answer
    x = 2,790.79

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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.