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Finding the Fourth Proportional to 3,663.80, 5,496.58 and 2,022.20

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Solution

The fourth proportional to 3,663.80, 5,496.58 and 2,022.20 is: 3,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.80 : 5,496.58 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    3,663.80/5,496.58 = 2,022.20/x
  3. Step 3: Cross multiply
    3,663.80x = 5,496.58 × 2,022.20
  4. Step 4: Simplify right side
    3,663.80x = 11,115,184.08
  5. Step 5: Solve for x
    x = 11,115,184.08/3,663.80
  6. Step 6: Final answer
    x = 3,033.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.