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Finding the Fourth Proportional to 3,578.57, 4,938.53 and 2,162.71

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Solution

The fourth proportional to 3,578.57, 4,938.53 and 2,162.71 is: 2,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.57 : 4,938.53 = 2,162.71 : x
  2. Step 2: Convert to fraction form
    3,578.57/4,938.53 = 2,162.71/x
  3. Step 3: Cross multiply
    3,578.57x = 4,938.53 × 2,162.71
  4. Step 4: Simplify right side
    3,578.57x = 10,680,608.22
  5. Step 5: Solve for x
    x = 10,680,608.22/3,578.57
  6. Step 6: Final answer
    x = 2,984.60

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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.