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Finding the Fourth Proportional to 3,952.44, 5,930.26 and 1,759.67

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Solution

The fourth proportional to 3,952.44, 5,930.26 and 1,759.67 is: 2,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.44 : 5,930.26 = 1,759.67 : x
  2. Step 2: Convert to fraction form
    3,952.44/5,930.26 = 1,759.67/x
  3. Step 3: Cross multiply
    3,952.44x = 5,930.26 × 1,759.67
  4. Step 4: Simplify right side
    3,952.44x = 10,435,291.82
  5. Step 5: Solve for x
    x = 10,435,291.82/3,952.44
  6. Step 6: Final answer
    x = 2,640.22

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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.