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Finding the Fourth Proportional to 3,201.96, 4,409.88 and 2,759.70

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Solution

The fourth proportional to 3,201.96, 4,409.88 and 2,759.70 is: 3,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.96 : 4,409.88 = 2,759.70 : x
  2. Step 2: Convert to fraction form
    3,201.96/4,409.88 = 2,759.70/x
  3. Step 3: Cross multiply
    3,201.96x = 4,409.88 × 2,759.70
  4. Step 4: Simplify right side
    3,201.96x = 12,169,945.84
  5. Step 5: Solve for x
    x = 12,169,945.84/3,201.96
  6. Step 6: Final answer
    x = 3,800.78

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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.