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Finding the Fourth Proportional to 5,213.72, 7,822.38 and 2,294.12

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Solution

The fourth proportional to 5,213.72, 7,822.38 and 2,294.12 is: 3,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.72 : 7,822.38 = 2,294.12 : x
  2. Step 2: Convert to fraction form
    5,213.72/7,822.38 = 2,294.12/x
  3. Step 3: Cross multiply
    5,213.72x = 7,822.38 × 2,294.12
  4. Step 4: Simplify right side
    5,213.72x = 17,945,478.41
  5. Step 5: Solve for x
    x = 17,945,478.41/5,213.72
  6. Step 6: Final answer
    x = 3,441.97

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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.