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Finding the Fourth Proportional to 5,489.24, 7,578.63 and 4,227.93

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Solution

The fourth proportional to 5,489.24, 7,578.63 and 4,227.93 is: 5,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.24 : 7,578.63 = 4,227.93 : x
  2. Step 2: Convert to fraction form
    5,489.24/7,578.63 = 4,227.93/x
  3. Step 3: Cross multiply
    5,489.24x = 7,578.63 × 4,227.93
  4. Step 4: Simplify right side
    5,489.24x = 32,041,917.14
  5. Step 5: Solve for x
    x = 32,041,917.14/5,489.24
  6. Step 6: Final answer
    x = 5,837.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.