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Finding the Fourth Proportional to 4,889.92, 7,321.92 and 3,825.04

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Solution

The fourth proportional to 4,889.92, 7,321.92 and 3,825.04 is: 5,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.92 : 7,321.92 = 3,825.04 : x
  2. Step 2: Convert to fraction form
    4,889.92/7,321.92 = 3,825.04/x
  3. Step 3: Cross multiply
    4,889.92x = 7,321.92 × 3,825.04
  4. Step 4: Simplify right side
    4,889.92x = 28,006,636.88
  5. Step 5: Solve for x
    x = 28,006,636.88/4,889.92
  6. Step 6: Final answer
    x = 5,727.42

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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.