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Finding the Fourth Proportional to 4,227.72, 6,355.23 and 3,923.34

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Solution

The fourth proportional to 4,227.72, 6,355.23 and 3,923.34 is: 5,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.72 : 6,355.23 = 3,923.34 : x
  2. Step 2: Convert to fraction form
    4,227.72/6,355.23 = 3,923.34/x
  3. Step 3: Cross multiply
    4,227.72x = 6,355.23 × 3,923.34
  4. Step 4: Simplify right side
    4,227.72x = 24,933,728.07
  5. Step 5: Solve for x
    x = 24,933,728.07/4,227.72
  6. Step 6: Final answer
    x = 5,897.68

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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.