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Finding the Fourth Proportional to 3,690.12, 5,532.94 and 1,378.92

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Solution

The fourth proportional to 3,690.12, 5,532.94 and 1,378.92 is: 2,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.12 : 5,532.94 = 1,378.92 : x
  2. Step 2: Convert to fraction form
    3,690.12/5,532.94 = 1,378.92/x
  3. Step 3: Cross multiply
    3,690.12x = 5,532.94 × 1,378.92
  4. Step 4: Simplify right side
    3,690.12x = 7,629,481.62
  5. Step 5: Solve for x
    x = 7,629,481.62/3,690.12
  6. Step 6: Final answer
    x = 2,067.54

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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.