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Finding the Fourth Proportional to 3,664.80, 5,502 and 2,022.12

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Solution

The fourth proportional to 3,664.80, 5,502 and 2,022.12 is: 3,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.80 : 5,502 = 2,022.12 : x
  2. Step 2: Convert to fraction form
    3,664.80/5,502 = 2,022.12/x
  3. Step 3: Cross multiply
    3,664.80x = 5,502 × 2,022.12
  4. Step 4: Simplify right side
    3,664.80x = 11,125,704.24
  5. Step 5: Solve for x
    x = 11,125,704.24/3,664.80
  6. Step 6: Final answer
    x = 3,035.83

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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.