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Finding the Fourth Proportional to 3,799.26, 5,696.49 and 1,334.31

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Solution

The fourth proportional to 3,799.26, 5,696.49 and 1,334.31 is: 2,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.26 : 5,696.49 = 1,334.31 : x
  2. Step 2: Convert to fraction form
    3,799.26/5,696.49 = 1,334.31/x
  3. Step 3: Cross multiply
    3,799.26x = 5,696.49 × 1,334.31
  4. Step 4: Simplify right side
    3,799.26x = 7,600,883.57
  5. Step 5: Solve for x
    x = 7,600,883.57/3,799.26
  6. Step 6: Final answer
    x = 2,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.