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Finding the Fourth Proportional to 5,213.79, 7,817.22 and 2,874.92

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Solution

The fourth proportional to 5,213.79, 7,817.22 and 2,874.92 is: 4,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.79 : 7,817.22 = 2,874.92 : x
  2. Step 2: Convert to fraction form
    5,213.79/7,817.22 = 2,874.92/x
  3. Step 3: Cross multiply
    5,213.79x = 7,817.22 × 2,874.92
  4. Step 4: Simplify right side
    5,213.79x = 22,473,843.04
  5. Step 5: Solve for x
    x = 22,473,843.04/5,213.79
  6. Step 6: Final answer
    x = 4,310.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.