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Finding the Fourth Proportional to 5,228.46, 7,843.17 and 2,108.34

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Solution

The fourth proportional to 5,228.46, 7,843.17 and 2,108.34 is: 3,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.46 : 7,843.17 = 2,108.34 : x
  2. Step 2: Convert to fraction form
    5,228.46/7,843.17 = 2,108.34/x
  3. Step 3: Cross multiply
    5,228.46x = 7,843.17 × 2,108.34
  4. Step 4: Simplify right side
    5,228.46x = 16,536,069.04
  5. Step 5: Solve for x
    x = 16,536,069.04/5,228.46
  6. Step 6: Final answer
    x = 3,162.70

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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.