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Finding the Fourth Proportional to 3,694.08, 5,542.04 and 1,097.01

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Solution

The fourth proportional to 3,694.08, 5,542.04 and 1,097.01 is: 1,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.08 : 5,542.04 = 1,097.01 : x
  2. Step 2: Convert to fraction form
    3,694.08/5,542.04 = 1,097.01/x
  3. Step 3: Cross multiply
    3,694.08x = 5,542.04 × 1,097.01
  4. Step 4: Simplify right side
    3,694.08x = 6,079,667.82
  5. Step 5: Solve for x
    x = 6,079,667.82/3,694.08
  6. Step 6: Final answer
    x = 1,645.79

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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.