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Finding the Fourth Proportional to 5,958.78, 8,936.43 and 2,258.34

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Solution

The fourth proportional to 5,958.78, 8,936.43 and 2,258.34 is: 3,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.78 : 8,936.43 = 2,258.34 : x
  2. Step 2: Convert to fraction form
    5,958.78/8,936.43 = 2,258.34/x
  3. Step 3: Cross multiply
    5,958.78x = 8,936.43 × 2,258.34
  4. Step 4: Simplify right side
    5,958.78x = 20,181,497.33
  5. Step 5: Solve for x
    x = 20,181,497.33/5,958.78
  6. Step 6: Final answer
    x = 3,386.85

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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.