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Finding the Fourth Proportional to 3,632.75, 5,448.85 and 2,067.84

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Solution

The fourth proportional to 3,632.75, 5,448.85 and 2,067.84 is: 3,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.75 : 5,448.85 = 2,067.84 : x
  2. Step 2: Convert to fraction form
    3,632.75/5,448.85 = 2,067.84/x
  3. Step 3: Cross multiply
    3,632.75x = 5,448.85 × 2,067.84
  4. Step 4: Simplify right side
    3,632.75x = 11,267,344.81
  5. Step 5: Solve for x
    x = 11,267,344.81/3,632.75
  6. Step 6: Final answer
    x = 3,101.60

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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.