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Finding the Fourth Proportional to 5,228.70, 7,844.06 and 2,108.98

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Solution

The fourth proportional to 5,228.70, 7,844.06 and 2,108.98 is: 3,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.70 : 7,844.06 = 2,108.98 : x
  2. Step 2: Convert to fraction form
    5,228.70/7,844.06 = 2,108.98/x
  3. Step 3: Cross multiply
    5,228.70x = 7,844.06 × 2,108.98
  4. Step 4: Simplify right side
    5,228.70x = 16,542,965.66
  5. Step 5: Solve for x
    x = 16,542,965.66/5,228.70
  6. Step 6: Final answer
    x = 3,163.88

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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.