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Finding the Fourth Proportional to 3,843.87, 5,305.41 and 2,516.81

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Solution

The fourth proportional to 3,843.87, 5,305.41 and 2,516.81 is: 3,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.87 : 5,305.41 = 2,516.81 : x
  2. Step 2: Convert to fraction form
    3,843.87/5,305.41 = 2,516.81/x
  3. Step 3: Cross multiply
    3,843.87x = 5,305.41 × 2,516.81
  4. Step 4: Simplify right side
    3,843.87x = 13,352,676.12
  5. Step 5: Solve for x
    x = 13,352,676.12/3,843.87
  6. Step 6: Final answer
    x = 3,473.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.