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Finding the Fourth Proportional to 5,923.54, 8,174.72 and 3,270.86

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Solution

The fourth proportional to 5,923.54, 8,174.72 and 3,270.86 is: 4,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.54 : 8,174.72 = 3,270.86 : x
  2. Step 2: Convert to fraction form
    5,923.54/8,174.72 = 3,270.86/x
  3. Step 3: Cross multiply
    5,923.54x = 8,174.72 × 3,270.86
  4. Step 4: Simplify right side
    5,923.54x = 26,738,348.30
  5. Step 5: Solve for x
    x = 26,738,348.30/5,923.54
  6. Step 6: Final answer
    x = 4,513.92

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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.