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Finding the Fourth Proportional to 5,524.41, 8,289.86 and 3,962.73

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Solution

The fourth proportional to 5,524.41, 8,289.86 and 3,962.73 is: 5,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.41 : 8,289.86 = 3,962.73 : x
  2. Step 2: Convert to fraction form
    5,524.41/8,289.86 = 3,962.73/x
  3. Step 3: Cross multiply
    5,524.41x = 8,289.86 × 3,962.73
  4. Step 4: Simplify right side
    5,524.41x = 32,850,476.92
  5. Step 5: Solve for x
    x = 32,850,476.92/5,524.41
  6. Step 6: Final answer
    x = 5,946.42

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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.