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Finding the Fourth Proportional to 5,923.68, 8,174.57 and 3,234.92

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Solution

The fourth proportional to 5,923.68, 8,174.57 and 3,234.92 is: 4,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.68 : 8,174.57 = 3,234.92 : x
  2. Step 2: Convert to fraction form
    5,923.68/8,174.57 = 3,234.92/x
  3. Step 3: Cross multiply
    5,923.68x = 8,174.57 × 3,234.92
  4. Step 4: Simplify right side
    5,923.68x = 26,444,022.94
  5. Step 5: Solve for x
    x = 26,444,022.94/5,923.68
  6. Step 6: Final answer
    x = 4,464.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.