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Finding the Fourth Proportional to 3,922.26, 5,883.87 and 1,324.50

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Solution

The fourth proportional to 3,922.26, 5,883.87 and 1,324.50 is: 1,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.26 : 5,883.87 = 1,324.50 : x
  2. Step 2: Convert to fraction form
    3,922.26/5,883.87 = 1,324.50/x
  3. Step 3: Cross multiply
    3,922.26x = 5,883.87 × 1,324.50
  4. Step 4: Simplify right side
    3,922.26x = 7,793,185.82
  5. Step 5: Solve for x
    x = 7,793,185.82/3,922.26
  6. Step 6: Final answer
    x = 1,986.91

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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.