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Finding the Fourth Proportional to 4,757.73, 7,134.03 and 2,159.25

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Solution

The fourth proportional to 4,757.73, 7,134.03 and 2,159.25 is: 3,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.73 : 7,134.03 = 2,159.25 : x
  2. Step 2: Convert to fraction form
    4,757.73/7,134.03 = 2,159.25/x
  3. Step 3: Cross multiply
    4,757.73x = 7,134.03 × 2,159.25
  4. Step 4: Simplify right side
    4,757.73x = 15,404,154.28
  5. Step 5: Solve for x
    x = 15,404,154.28/4,757.73
  6. Step 6: Final answer
    x = 3,237.71

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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.