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Finding the Fourth Proportional to 5,450.97, 8,177.67 and 1,988.22

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Solution

The fourth proportional to 5,450.97, 8,177.67 and 1,988.22 is: 2,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.97 : 8,177.67 = 1,988.22 : x
  2. Step 2: Convert to fraction form
    5,450.97/8,177.67 = 1,988.22/x
  3. Step 3: Cross multiply
    5,450.97x = 8,177.67 × 1,988.22
  4. Step 4: Simplify right side
    5,450.97x = 16,259,012.02
  5. Step 5: Solve for x
    x = 16,259,012.02/5,450.97
  6. Step 6: Final answer
    x = 2,982.77

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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.