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Finding the Fourth Proportional to 3,199.56, 4,422.24 and 2,412.24

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Solution

The fourth proportional to 3,199.56, 4,422.24 and 2,412.24 is: 3,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.56 : 4,422.24 = 2,412.24 : x
  2. Step 2: Convert to fraction form
    3,199.56/4,422.24 = 2,412.24/x
  3. Step 3: Cross multiply
    3,199.56x = 4,422.24 × 2,412.24
  4. Step 4: Simplify right side
    3,199.56x = 10,667,504.22
  5. Step 5: Solve for x
    x = 10,667,504.22/3,199.56
  6. Step 6: Final answer
    x = 3,334.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.