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Finding the Fourth Proportional to 5,960.71, 8,936.38 and 3,764.81

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Solution

The fourth proportional to 5,960.71, 8,936.38 and 3,764.81 is: 5,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.71 : 8,936.38 = 3,764.81 : x
  2. Step 2: Convert to fraction form
    5,960.71/8,936.38 = 3,764.81/x
  3. Step 3: Cross multiply
    5,960.71x = 8,936.38 × 3,764.81
  4. Step 4: Simplify right side
    5,960.71x = 33,643,778.66
  5. Step 5: Solve for x
    x = 33,643,778.66/5,960.71
  6. Step 6: Final answer
    x = 5,644.26

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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.