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Finding the Fourth Proportional to 5,728.44, 8,578.14 and 4,801.56

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Solution

The fourth proportional to 5,728.44, 8,578.14 and 4,801.56 is: 7,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.44 : 8,578.14 = 4,801.56 : x
  2. Step 2: Convert to fraction form
    5,728.44/8,578.14 = 4,801.56/x
  3. Step 3: Cross multiply
    5,728.44x = 8,578.14 × 4,801.56
  4. Step 4: Simplify right side
    5,728.44x = 41,188,453.90
  5. Step 5: Solve for x
    x = 41,188,453.90/5,728.44
  6. Step 6: Final answer
    x = 7,190.17

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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.