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Finding the Fourth Proportional to 3,224, 4,832.36 and 1,489.04

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Solution

The fourth proportional to 3,224, 4,832.36 and 1,489.04 is: 2,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224 : 4,832.36 = 1,489.04 : x
  2. Step 2: Convert to fraction form
    3,224/4,832.36 = 1,489.04/x
  3. Step 3: Cross multiply
    3,224x = 4,832.36 × 1,489.04
  4. Step 4: Simplify right side
    3,224x = 7,195,577.33
  5. Step 5: Solve for x
    x = 7,195,577.33/3,224
  6. Step 6: Final answer
    x = 2,231.88

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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.