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Finding the Fourth Proportional to 3,754.92, 5,181.66 and 2,183

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Solution

The fourth proportional to 3,754.92, 5,181.66 and 2,183 is: 3,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.92 : 5,181.66 = 2,183 : x
  2. Step 2: Convert to fraction form
    3,754.92/5,181.66 = 2,183/x
  3. Step 3: Cross multiply
    3,754.92x = 5,181.66 × 2,183
  4. Step 4: Simplify right side
    3,754.92x = 11,311,563.78
  5. Step 5: Solve for x
    x = 11,311,563.78/3,754.92
  6. Step 6: Final answer
    x = 3,012.46

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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.