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Finding the Fourth Proportional to 3,828.87, 5,741.94 and 1,329.41

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Solution

The fourth proportional to 3,828.87, 5,741.94 and 1,329.41 is: 1,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.87 : 5,741.94 = 1,329.41 : x
  2. Step 2: Convert to fraction form
    3,828.87/5,741.94 = 1,329.41/x
  3. Step 3: Cross multiply
    3,828.87x = 5,741.94 × 1,329.41
  4. Step 4: Simplify right side
    3,828.87x = 7,633,404.32
  5. Step 5: Solve for x
    x = 7,633,404.32/3,828.87
  6. Step 6: Final answer
    x = 1,993.64

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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.