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Finding the Fourth Proportional to 5,213.62, 7,817.19 and 2,906.74

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Solution

The fourth proportional to 5,213.62, 7,817.19 and 2,906.74 is: 4,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.62 : 7,817.19 = 2,906.74 : x
  2. Step 2: Convert to fraction form
    5,213.62/7,817.19 = 2,906.74/x
  3. Step 3: Cross multiply
    5,213.62x = 7,817.19 × 2,906.74
  4. Step 4: Simplify right side
    5,213.62x = 22,722,538.86
  5. Step 5: Solve for x
    x = 22,722,538.86/5,213.62
  6. Step 6: Final answer
    x = 4,358.30

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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.