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Finding the Fourth Proportional to 3,781, 5,217.78 and 2,125

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Solution

The fourth proportional to 3,781, 5,217.78 and 2,125 is: 2,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781 : 5,217.78 = 2,125 : x
  2. Step 2: Convert to fraction form
    3,781/5,217.78 = 2,125/x
  3. Step 3: Cross multiply
    3,781x = 5,217.78 × 2,125
  4. Step 4: Simplify right side
    3,781x = 11,087,782.50
  5. Step 5: Solve for x
    x = 11,087,782.50/3,781
  6. Step 6: Final answer
    x = 2,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.