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Finding the Fourth Proportional to 4,183.72, 5,745.01 and 3,741.46

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Solution

The fourth proportional to 4,183.72, 5,745.01 and 3,741.46 is: 5,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.72 : 5,745.01 = 3,741.46 : x
  2. Step 2: Convert to fraction form
    4,183.72/5,745.01 = 3,741.46/x
  3. Step 3: Cross multiply
    4,183.72x = 5,745.01 × 3,741.46
  4. Step 4: Simplify right side
    4,183.72x = 21,494,708.41
  5. Step 5: Solve for x
    x = 21,494,708.41/4,183.72
  6. Step 6: Final answer
    x = 5,137.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.