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Finding the Fourth Proportional to 4,255.26, 6,380.73 and 1,945.50

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Solution

The fourth proportional to 4,255.26, 6,380.73 and 1,945.50 is: 2,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.26 : 6,380.73 = 1,945.50 : x
  2. Step 2: Convert to fraction form
    4,255.26/6,380.73 = 1,945.50/x
  3. Step 3: Cross multiply
    4,255.26x = 6,380.73 × 1,945.50
  4. Step 4: Simplify right side
    4,255.26x = 12,413,710.22
  5. Step 5: Solve for x
    x = 12,413,710.22/4,255.26
  6. Step 6: Final answer
    x = 2,917.26

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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.