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Finding the Fourth Proportional to 5,470.68, 8,198.46 and 4,738.44

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Solution

The fourth proportional to 5,470.68, 8,198.46 and 4,738.44 is: 7,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.68 : 8,198.46 = 4,738.44 : x
  2. Step 2: Convert to fraction form
    5,470.68/8,198.46 = 4,738.44/x
  3. Step 3: Cross multiply
    5,470.68x = 8,198.46 × 4,738.44
  4. Step 4: Simplify right side
    5,470.68x = 38,847,910.80
  5. Step 5: Solve for x
    x = 38,847,910.80/5,470.68
  6. Step 6: Final answer
    x = 7,101.11

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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.