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Finding the Fourth Proportional to 3,767.41, 5,198.99 and 2,174.24

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Solution

The fourth proportional to 3,767.41, 5,198.99 and 2,174.24 is: 3,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.41 : 5,198.99 = 2,174.24 : x
  2. Step 2: Convert to fraction form
    3,767.41/5,198.99 = 2,174.24/x
  3. Step 3: Cross multiply
    3,767.41x = 5,198.99 × 2,174.24
  4. Step 4: Simplify right side
    3,767.41x = 11,303,854.14
  5. Step 5: Solve for x
    x = 11,303,854.14/3,767.41
  6. Step 6: Final answer
    x = 3,000.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.