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Finding the Fourth Proportional to 3,578.92, 4,938.97 and 2,162.41

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Solution

The fourth proportional to 3,578.92, 4,938.97 and 2,162.41 is: 2,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.92 : 4,938.97 = 2,162.41 : x
  2. Step 2: Convert to fraction form
    3,578.92/4,938.97 = 2,162.41/x
  3. Step 3: Cross multiply
    3,578.92x = 4,938.97 × 2,162.41
  4. Step 4: Simplify right side
    3,578.92x = 10,680,067.31
  5. Step 5: Solve for x
    x = 10,680,067.31/3,578.92
  6. Step 6: Final answer
    x = 2,984.16

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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.