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Finding the Fourth Proportional to 3,694.56, 5,538.24 and 1,228.11

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Solution

The fourth proportional to 3,694.56, 5,538.24 and 1,228.11 is: 1,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.56 : 5,538.24 = 1,228.11 : x
  2. Step 2: Convert to fraction form
    3,694.56/5,538.24 = 1,228.11/x
  3. Step 3: Cross multiply
    3,694.56x = 5,538.24 × 1,228.11
  4. Step 4: Simplify right side
    3,694.56x = 6,801,567.93
  5. Step 5: Solve for x
    x = 6,801,567.93/3,694.56
  6. Step 6: Final answer
    x = 1,840.97

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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.