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Finding the Fourth Proportional to 3,200.96, 4,811.20 and 2,339.12

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Solution

The fourth proportional to 3,200.96, 4,811.20 and 2,339.12 is: 3,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.96 : 4,811.20 = 2,339.12 : x
  2. Step 2: Convert to fraction form
    3,200.96/4,811.20 = 2,339.12/x
  3. Step 3: Cross multiply
    3,200.96x = 4,811.20 × 2,339.12
  4. Step 4: Simplify right side
    3,200.96x = 11,253,974.14
  5. Step 5: Solve for x
    x = 11,253,974.14/3,200.96
  6. Step 6: Final answer
    x = 3,515.81

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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.