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Finding the Fourth Proportional to 3,766.86, 5,196.42 and 3,268.80

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Solution

The fourth proportional to 3,766.86, 5,196.42 and 3,268.80 is: 4,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.86 : 5,196.42 = 3,268.80 : x
  2. Step 2: Convert to fraction form
    3,766.86/5,196.42 = 3,268.80/x
  3. Step 3: Cross multiply
    3,766.86x = 5,196.42 × 3,268.80
  4. Step 4: Simplify right side
    3,766.86x = 16,986,057.70
  5. Step 5: Solve for x
    x = 16,986,057.70/3,766.86
  6. Step 6: Final answer
    x = 4,509.34

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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.