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Finding the Fourth Proportional to 5,500.20, 8,250.84 and 1,604.64

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Solution

The fourth proportional to 5,500.20, 8,250.84 and 1,604.64 is: 2,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.20 : 8,250.84 = 1,604.64 : x
  2. Step 2: Convert to fraction form
    5,500.20/8,250.84 = 1,604.64/x
  3. Step 3: Cross multiply
    5,500.20x = 8,250.84 × 1,604.64
  4. Step 4: Simplify right side
    5,500.20x = 13,239,627.90
  5. Step 5: Solve for x
    x = 13,239,627.90/5,500.20
  6. Step 6: Final answer
    x = 2,407.12

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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.