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Finding the Fourth Proportional to 3,694.01, 5,534.73 and 3,226.64

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Solution

The fourth proportional to 3,694.01, 5,534.73 and 3,226.64 is: 4,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.01 : 5,534.73 = 3,226.64 : x
  2. Step 2: Convert to fraction form
    3,694.01/5,534.73 = 3,226.64/x
  3. Step 3: Cross multiply
    3,694.01x = 5,534.73 × 3,226.64
  4. Step 4: Simplify right side
    3,694.01x = 17,858,553.53
  5. Step 5: Solve for x
    x = 17,858,553.53/3,694.01
  6. Step 6: Final answer
    x = 4,834.47

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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.