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Finding the Fourth Proportional to 5,227.66, 7,837.36 and 3,579.20

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Solution

The fourth proportional to 5,227.66, 7,837.36 and 3,579.20 is: 5,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.66 : 7,837.36 = 3,579.20 : x
  2. Step 2: Convert to fraction form
    5,227.66/7,837.36 = 3,579.20/x
  3. Step 3: Cross multiply
    5,227.66x = 7,837.36 × 3,579.20
  4. Step 4: Simplify right side
    5,227.66x = 28,051,478.91
  5. Step 5: Solve for x
    x = 28,051,478.91/5,227.66
  6. Step 6: Final answer
    x = 5,365.97

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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.