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Finding the Fourth Proportional to 6,481.75, 9,724.37 and 2,588.89

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Solution

The fourth proportional to 6,481.75, 9,724.37 and 2,588.89 is: 3,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.75 : 9,724.37 = 2,588.89 : x
  2. Step 2: Convert to fraction form
    6,481.75/9,724.37 = 2,588.89/x
  3. Step 3: Cross multiply
    6,481.75x = 9,724.37 × 2,588.89
  4. Step 4: Simplify right side
    6,481.75x = 25,175,324.25
  5. Step 5: Solve for x
    x = 25,175,324.25/6,481.75
  6. Step 6: Final answer
    x = 3,884.03

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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.