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Finding the Fourth Proportional to 5,448.57, 8,174.22 and 1,552.96

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Solution

The fourth proportional to 5,448.57, 8,174.22 and 1,552.96 is: 2,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.57 : 8,174.22 = 1,552.96 : x
  2. Step 2: Convert to fraction form
    5,448.57/8,174.22 = 1,552.96/x
  3. Step 3: Cross multiply
    5,448.57x = 8,174.22 × 1,552.96
  4. Step 4: Simplify right side
    5,448.57x = 12,694,236.69
  5. Step 5: Solve for x
    x = 12,694,236.69/5,448.57
  6. Step 6: Final answer
    x = 2,329.83

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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.