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Finding the Fourth Proportional to 5,500, 8,249.06 and 1,989.34

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Solution

The fourth proportional to 5,500, 8,249.06 and 1,989.34 is: 2,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500 : 8,249.06 = 1,989.34 : x
  2. Step 2: Convert to fraction form
    5,500/8,249.06 = 1,989.34/x
  3. Step 3: Cross multiply
    5,500x = 8,249.06 × 1,989.34
  4. Step 4: Simplify right side
    5,500x = 16,410,185.02
  5. Step 5: Solve for x
    x = 16,410,185.02/5,500
  6. Step 6: Final answer
    x = 2,983.67

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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.