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Finding the Fourth Proportional to 5,221.38, 7,833.28 and 2,299.92

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Solution

The fourth proportional to 5,221.38, 7,833.28 and 2,299.92 is: 3,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.38 : 7,833.28 = 2,299.92 : x
  2. Step 2: Convert to fraction form
    5,221.38/7,833.28 = 2,299.92/x
  3. Step 3: Cross multiply
    5,221.38x = 7,833.28 × 2,299.92
  4. Step 4: Simplify right side
    5,221.38x = 18,015,917.34
  5. Step 5: Solve for x
    x = 18,015,917.34/5,221.38
  6. Step 6: Final answer
    x = 3,450.41

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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.