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Finding the Fourth Proportional to 5,093.28, 7,647 and 2,629.92

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Solution

The fourth proportional to 5,093.28, 7,647 and 2,629.92 is: 3,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.28 : 7,647 = 2,629.92 : x
  2. Step 2: Convert to fraction form
    5,093.28/7,647 = 2,629.92/x
  3. Step 3: Cross multiply
    5,093.28x = 7,647 × 2,629.92
  4. Step 4: Simplify right side
    5,093.28x = 20,110,998.24
  5. Step 5: Solve for x
    x = 20,110,998.24/5,093.28
  6. Step 6: Final answer
    x = 3,948.54

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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.