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Finding the Fourth Proportional to 3,228.84, 4,843.23 and 1,378.38

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Solution

The fourth proportional to 3,228.84, 4,843.23 and 1,378.38 is: 2,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.84 : 4,843.23 = 1,378.38 : x
  2. Step 2: Convert to fraction form
    3,228.84/4,843.23 = 1,378.38/x
  3. Step 3: Cross multiply
    3,228.84x = 4,843.23 × 1,378.38
  4. Step 4: Simplify right side
    3,228.84x = 6,675,811.37
  5. Step 5: Solve for x
    x = 6,675,811.37/3,228.84
  6. Step 6: Final answer
    x = 2,067.56

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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.