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Finding the Fourth Proportional to 5,234.10, 7,843.05 and 3,500.70

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Solution

The fourth proportional to 5,234.10, 7,843.05 and 3,500.70 is: 5,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.10 : 7,843.05 = 3,500.70 : x
  2. Step 2: Convert to fraction form
    5,234.10/7,843.05 = 3,500.70/x
  3. Step 3: Cross multiply
    5,234.10x = 7,843.05 × 3,500.70
  4. Step 4: Simplify right side
    5,234.10x = 27,456,165.14
  5. Step 5: Solve for x
    x = 27,456,165.14/5,234.10
  6. Step 6: Final answer
    x = 5,245.63

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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.