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Finding the Fourth Proportional to 4,832.01, 7,249.46 and 2,022.20

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Solution

The fourth proportional to 4,832.01, 7,249.46 and 2,022.20 is: 3,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.01 : 7,249.46 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    4,832.01/7,249.46 = 2,022.20/x
  3. Step 3: Cross multiply
    4,832.01x = 7,249.46 × 2,022.20
  4. Step 4: Simplify right side
    4,832.01x = 14,659,811.65
  5. Step 5: Solve for x
    x = 14,659,811.65/4,832.01
  6. Step 6: Final answer
    x = 3,033.90

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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.