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Finding the Fourth Proportional to 3,694.62, 5,537.07 and 2,050.32

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Solution

The fourth proportional to 3,694.62, 5,537.07 and 2,050.32 is: 3,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.62 : 5,537.07 = 2,050.32 : x
  2. Step 2: Convert to fraction form
    3,694.62/5,537.07 = 2,050.32/x
  3. Step 3: Cross multiply
    3,694.62x = 5,537.07 × 2,050.32
  4. Step 4: Simplify right side
    3,694.62x = 11,352,765.36
  5. Step 5: Solve for x
    x = 11,352,765.36/3,694.62
  6. Step 6: Final answer
    x = 3,072.78

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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.