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Finding the Fourth Proportional to 3,022.20, 3,997.08 and 3,022.20

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Solution

The fourth proportional to 3,022.20, 3,997.08 and 3,022.20 is: 3,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.20 : 3,997.08 = 3,022.20 : x
  2. Step 2: Convert to fraction form
    3,022.20/3,997.08 = 3,022.20/x
  3. Step 3: Cross multiply
    3,022.20x = 3,997.08 × 3,022.20
  4. Step 4: Simplify right side
    3,022.20x = 12,079,975.18
  5. Step 5: Solve for x
    x = 12,079,975.18/3,022.20
  6. Step 6: Final answer
    x = 3,997.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.