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Finding the Fourth Proportional to 3,755.54, 5,182.84 and 2,162.43

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Solution

The fourth proportional to 3,755.54, 5,182.84 and 2,162.43 is: 2,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.54 : 5,182.84 = 2,162.43 : x
  2. Step 2: Convert to fraction form
    3,755.54/5,182.84 = 2,162.43/x
  3. Step 3: Cross multiply
    3,755.54x = 5,182.84 × 2,162.43
  4. Step 4: Simplify right side
    3,755.54x = 11,207,491.97
  5. Step 5: Solve for x
    x = 11,207,491.97/3,755.54
  6. Step 6: Final answer
    x = 2,984.26

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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.