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Finding the Fourth Proportional to 3,889, 5,366.82 and 2,233

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Solution

The fourth proportional to 3,889, 5,366.82 and 2,233 is: 3,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889 : 5,366.82 = 2,233 : x
  2. Step 2: Convert to fraction form
    3,889/5,366.82 = 2,233/x
  3. Step 3: Cross multiply
    3,889x = 5,366.82 × 2,233
  4. Step 4: Simplify right side
    3,889x = 11,984,109.06
  5. Step 5: Solve for x
    x = 11,984,109.06/3,889
  6. Step 6: Final answer
    x = 3,081.54

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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.