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Finding the Fourth Proportional to 5,498.88, 8,247.12 and 2,033.60

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Solution

The fourth proportional to 5,498.88, 8,247.12 and 2,033.60 is: 3,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.88 : 8,247.12 = 2,033.60 : x
  2. Step 2: Convert to fraction form
    5,498.88/8,247.12 = 2,033.60/x
  3. Step 3: Cross multiply
    5,498.88x = 8,247.12 × 2,033.60
  4. Step 4: Simplify right side
    5,498.88x = 16,771,343.23
  5. Step 5: Solve for x
    x = 16,771,343.23/5,498.88
  6. Step 6: Final answer
    x = 3,049.96

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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.