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Finding the Fourth Proportional to 4,912.73, 7,372.13 and 1,991.06

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Solution

The fourth proportional to 4,912.73, 7,372.13 and 1,991.06 is: 2,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.73 : 7,372.13 = 1,991.06 : x
  2. Step 2: Convert to fraction form
    4,912.73/7,372.13 = 1,991.06/x
  3. Step 3: Cross multiply
    4,912.73x = 7,372.13 × 1,991.06
  4. Step 4: Simplify right side
    4,912.73x = 14,678,306.34
  5. Step 5: Solve for x
    x = 14,678,306.34/4,912.73
  6. Step 6: Final answer
    x = 2,987.81

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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.