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Finding the Fourth Proportional to 5,723.70, 7,898.69 and 3,205.83

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Solution

The fourth proportional to 5,723.70, 7,898.69 and 3,205.83 is: 4,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.70 : 7,898.69 = 3,205.83 : x
  2. Step 2: Convert to fraction form
    5,723.70/7,898.69 = 3,205.83/x
  3. Step 3: Cross multiply
    5,723.70x = 7,898.69 × 3,205.83
  4. Step 4: Simplify right side
    5,723.70x = 25,321,841.33
  5. Step 5: Solve for x
    x = 25,321,841.33/5,723.70
  6. Step 6: Final answer
    x = 4,424.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.