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Finding the Fourth Proportional to 3,626.37, 4,993.26 and 3,175.66

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Solution

The fourth proportional to 3,626.37, 4,993.26 and 3,175.66 is: 4,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.37 : 4,993.26 = 3,175.66 : x
  2. Step 2: Convert to fraction form
    3,626.37/4,993.26 = 3,175.66/x
  3. Step 3: Cross multiply
    3,626.37x = 4,993.26 × 3,175.66
  4. Step 4: Simplify right side
    3,626.37x = 15,856,896.05
  5. Step 5: Solve for x
    x = 15,856,896.05/3,626.37
  6. Step 6: Final answer
    x = 4,372.66

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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.