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Finding the Fourth Proportional to 3,801.89, 5,705.39 and 1,336.73

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Solution

The fourth proportional to 3,801.89, 5,705.39 and 1,336.73 is: 2,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.89 : 5,705.39 = 1,336.73 : x
  2. Step 2: Convert to fraction form
    3,801.89/5,705.39 = 1,336.73/x
  3. Step 3: Cross multiply
    3,801.89x = 5,705.39 × 1,336.73
  4. Step 4: Simplify right side
    3,801.89x = 7,626,540.79
  5. Step 5: Solve for x
    x = 7,626,540.79/3,801.89
  6. Step 6: Final answer
    x = 2,005.99

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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.