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Finding the Fourth Proportional to 5,474.70, 8,216.10 and 2,190.15

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Solution

The fourth proportional to 5,474.70, 8,216.10 and 2,190.15 is: 3,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.70 : 8,216.10 = 2,190.15 : x
  2. Step 2: Convert to fraction form
    5,474.70/8,216.10 = 2,190.15/x
  3. Step 3: Cross multiply
    5,474.70x = 8,216.10 × 2,190.15
  4. Step 4: Simplify right side
    5,474.70x = 17,994,491.42
  5. Step 5: Solve for x
    x = 17,994,491.42/5,474.70
  6. Step 6: Final answer
    x = 3,286.85

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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.