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Finding the Fourth Proportional to 5,723.73, 7,898.61 and 3,205.92

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Solution

The fourth proportional to 5,723.73, 7,898.61 and 3,205.92 is: 4,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.73 : 7,898.61 = 3,205.92 : x
  2. Step 2: Convert to fraction form
    5,723.73/7,898.61 = 3,205.92/x
  3. Step 3: Cross multiply
    5,723.73x = 7,898.61 × 3,205.92
  4. Step 4: Simplify right side
    5,723.73x = 25,322,311.77
  5. Step 5: Solve for x
    x = 25,322,311.77/5,723.73
  6. Step 6: Final answer
    x = 4,424.09

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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.