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Finding the Fourth Proportional to 5,667.78, 8,494.45 and 3,203.97

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Solution

The fourth proportional to 5,667.78, 8,494.45 and 3,203.97 is: 4,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.78 : 8,494.45 = 3,203.97 : x
  2. Step 2: Convert to fraction form
    5,667.78/8,494.45 = 3,203.97/x
  3. Step 3: Cross multiply
    5,667.78x = 8,494.45 × 3,203.97
  4. Step 4: Simplify right side
    5,667.78x = 27,215,904.47
  5. Step 5: Solve for x
    x = 27,215,904.47/5,667.78
  6. Step 6: Final answer
    x = 4,801.87

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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.