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Finding the Fourth Proportional to 4,550.81, 6,826.21 and 3,086.33

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Solution

The fourth proportional to 4,550.81, 6,826.21 and 3,086.33 is: 4,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.81 : 6,826.21 = 3,086.33 : x
  2. Step 2: Convert to fraction form
    4,550.81/6,826.21 = 3,086.33/x
  3. Step 3: Cross multiply
    4,550.81x = 6,826.21 × 3,086.33
  4. Step 4: Simplify right side
    4,550.81x = 21,067,894.86
  5. Step 5: Solve for x
    x = 21,067,894.86/4,550.81
  6. Step 6: Final answer
    x = 4,629.49

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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.