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Finding the Fourth Proportional to 3,805.35, 5,706.99 and 1,338.83

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Solution

The fourth proportional to 3,805.35, 5,706.99 and 1,338.83 is: 2,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.35 : 5,706.99 = 1,338.83 : x
  2. Step 2: Convert to fraction form
    3,805.35/5,706.99 = 1,338.83/x
  3. Step 3: Cross multiply
    3,805.35x = 5,706.99 × 1,338.83
  4. Step 4: Simplify right side
    3,805.35x = 7,640,682.29
  5. Step 5: Solve for x
    x = 7,640,682.29/3,805.35
  6. Step 6: Final answer
    x = 2,007.88

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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.