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Finding the Fourth Proportional to 3,478.72, 5,198.92 and 2,543.62

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Solution

The fourth proportional to 3,478.72, 5,198.92 and 2,543.62 is: 3,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.72 : 5,198.92 = 2,543.62 : x
  2. Step 2: Convert to fraction form
    3,478.72/5,198.92 = 2,543.62/x
  3. Step 3: Cross multiply
    3,478.72x = 5,198.92 × 2,543.62
  4. Step 4: Simplify right side
    3,478.72x = 13,224,076.89
  5. Step 5: Solve for x
    x = 13,224,076.89/3,478.72
  6. Step 6: Final answer
    x = 3,801.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.