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Finding the Fourth Proportional to 3,662.62, 5,056.77 and 3,268.96

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Solution

The fourth proportional to 3,662.62, 5,056.77 and 3,268.96 is: 4,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.62 : 5,056.77 = 3,268.96 : x
  2. Step 2: Convert to fraction form
    3,662.62/5,056.77 = 3,268.96/x
  3. Step 3: Cross multiply
    3,662.62x = 5,056.77 × 3,268.96
  4. Step 4: Simplify right side
    3,662.62x = 16,530,378.86
  5. Step 5: Solve for x
    x = 16,530,378.86/3,662.62
  6. Step 6: Final answer
    x = 4,513.27

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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.