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Finding the Fourth Proportional to 3,634.66, 5,455.23 and 2,250.64

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Solution

The fourth proportional to 3,634.66, 5,455.23 and 2,250.64 is: 3,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.66 : 5,455.23 = 2,250.64 : x
  2. Step 2: Convert to fraction form
    3,634.66/5,455.23 = 2,250.64/x
  3. Step 3: Cross multiply
    3,634.66x = 5,455.23 × 2,250.64
  4. Step 4: Simplify right side
    3,634.66x = 12,277,758.85
  5. Step 5: Solve for x
    x = 12,277,758.85/3,634.66
  6. Step 6: Final answer
    x = 3,377.97

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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.