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Finding the Fourth Proportional to 5,789.44, 7,993.38 and 3,696.40

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Solution

The fourth proportional to 5,789.44, 7,993.38 and 3,696.40 is: 5,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.44 : 7,993.38 = 3,696.40 : x
  2. Step 2: Convert to fraction form
    5,789.44/7,993.38 = 3,696.40/x
  3. Step 3: Cross multiply
    5,789.44x = 7,993.38 × 3,696.40
  4. Step 4: Simplify right side
    5,789.44x = 29,546,729.83
  5. Step 5: Solve for x
    x = 29,546,729.83/5,789.44
  6. Step 6: Final answer
    x = 5,103.56

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1.5x scale

Why These Related Problems?

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