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Finding the Fourth Proportional to 7,201.75, 10,807.49 and 2,584.75

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Solution

The fourth proportional to 7,201.75, 10,807.49 and 2,584.75 is: 3,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.75 : 10,807.49 = 2,584.75 : x
  2. Step 2: Convert to fraction form
    7,201.75/10,807.49 = 2,584.75/x
  3. Step 3: Cross multiply
    7,201.75x = 10,807.49 × 2,584.75
  4. Step 4: Simplify right side
    7,201.75x = 27,934,659.78
  5. Step 5: Solve for x
    x = 27,934,659.78/7,201.75
  6. Step 6: Final answer
    x = 3,878.87

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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.