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Finding the Fourth Proportional to 4,843.25, 7,265.96 and 1,765.25

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Solution

The fourth proportional to 4,843.25, 7,265.96 and 1,765.25 is: 2,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.25 : 7,265.96 = 1,765.25 : x
  2. Step 2: Convert to fraction form
    4,843.25/7,265.96 = 1,765.25/x
  3. Step 3: Cross multiply
    4,843.25x = 7,265.96 × 1,765.25
  4. Step 4: Simplify right side
    4,843.25x = 12,826,227.06
  5. Step 5: Solve for x
    x = 12,826,227.06/4,843.25
  6. Step 6: Final answer
    x = 2,648.27

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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.