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Finding the Fourth Proportional to 3,876.80, 5,338.32 and 3,313.04

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Solution

The fourth proportional to 3,876.80, 5,338.32 and 3,313.04 is: 4,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,338.32 = 3,313.04 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,338.32 = 3,313.04/x
  3. Step 3: Cross multiply
    3,876.80x = 5,338.32 × 3,313.04
  4. Step 4: Simplify right side
    3,876.80x = 17,686,067.69
  5. Step 5: Solve for x
    x = 17,686,067.69/3,876.80
  6. Step 6: Final answer
    x = 4,562.03

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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.