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Finding the Fourth Proportional to 3,700.82, 5,107.08 and 2,022.20

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Solution

The fourth proportional to 3,700.82, 5,107.08 and 2,022.20 is: 2,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.82 : 5,107.08 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    3,700.82/5,107.08 = 2,022.20/x
  3. Step 3: Cross multiply
    3,700.82x = 5,107.08 × 2,022.20
  4. Step 4: Simplify right side
    3,700.82x = 10,327,505.01
  5. Step 5: Solve for x
    x = 10,327,505.01/3,700.82
  6. Step 6: Final answer
    x = 2,790.60

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1.5x scale

Why These Related Problems?

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