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Finding the Fourth Proportional to 3,694.28, 5,542.34 and 1,097.22

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Solution

The fourth proportional to 3,694.28, 5,542.34 and 1,097.22 is: 1,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.28 : 5,542.34 = 1,097.22 : x
  2. Step 2: Convert to fraction form
    3,694.28/5,542.34 = 1,097.22/x
  3. Step 3: Cross multiply
    3,694.28x = 5,542.34 × 1,097.22
  4. Step 4: Simplify right side
    3,694.28x = 6,081,160.81
  5. Step 5: Solve for x
    x = 6,081,160.81/3,694.28
  6. Step 6: Final answer
    x = 1,646.10

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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.