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Finding the Fourth Proportional to 5,764.26, 7,954.71 and 3,246.48

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Solution

The fourth proportional to 5,764.26, 7,954.71 and 3,246.48 is: 4,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.26 : 7,954.71 = 3,246.48 : x
  2. Step 2: Convert to fraction form
    5,764.26/7,954.71 = 3,246.48/x
  3. Step 3: Cross multiply
    5,764.26x = 7,954.71 × 3,246.48
  4. Step 4: Simplify right side
    5,764.26x = 25,824,794.75
  5. Step 5: Solve for x
    x = 25,824,794.75/5,764.26
  6. Step 6: Final answer
    x = 4,480.15

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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.