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Finding the Fourth Proportional to 5,996.46, 8,991.54 and 3,223.74

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Solution

The fourth proportional to 5,996.46, 8,991.54 and 3,223.74 is: 4,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.46 : 8,991.54 = 3,223.74 : x
  2. Step 2: Convert to fraction form
    5,996.46/8,991.54 = 3,223.74/x
  3. Step 3: Cross multiply
    5,996.46x = 8,991.54 × 3,223.74
  4. Step 4: Simplify right side
    5,996.46x = 28,986,387.16
  5. Step 5: Solve for x
    x = 28,986,387.16/5,996.46
  6. Step 6: Final answer
    x = 4,833.92

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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.