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Finding the Fourth Proportional to 5,472.96, 8,197.92 and 2,553.60

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Solution

The fourth proportional to 5,472.96, 8,197.92 and 2,553.60 is: 3,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.96 : 8,197.92 = 2,553.60 : x
  2. Step 2: Convert to fraction form
    5,472.96/8,197.92 = 2,553.60/x
  3. Step 3: Cross multiply
    5,472.96x = 8,197.92 × 2,553.60
  4. Step 4: Simplify right side
    5,472.96x = 20,934,208.51
  5. Step 5: Solve for x
    x = 20,934,208.51/5,472.96
  6. Step 6: Final answer
    x = 3,825.02

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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.