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Finding the Fourth Proportional to 3,866.96, 5,336.67 and 2,355.09

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Solution

The fourth proportional to 3,866.96, 5,336.67 and 2,355.09 is: 3,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.96 : 5,336.67 = 2,355.09 : x
  2. Step 2: Convert to fraction form
    3,866.96/5,336.67 = 2,355.09/x
  3. Step 3: Cross multiply
    3,866.96x = 5,336.67 × 2,355.09
  4. Step 4: Simplify right side
    3,866.96x = 12,568,338.15
  5. Step 5: Solve for x
    x = 12,568,338.15/3,866.96
  6. Step 6: Final answer
    x = 3,250.19

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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.