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Finding the Fourth Proportional to 5,679.33, 7,838.60 and 3,289.69

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Solution

The fourth proportional to 5,679.33, 7,838.60 and 3,289.69 is: 4,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.33 : 7,838.60 = 3,289.69 : x
  2. Step 2: Convert to fraction form
    5,679.33/7,838.60 = 3,289.69/x
  3. Step 3: Cross multiply
    5,679.33x = 7,838.60 × 3,289.69
  4. Step 4: Simplify right side
    5,679.33x = 25,786,564.03
  5. Step 5: Solve for x
    x = 25,786,564.03/5,679.33
  6. Step 6: Final answer
    x = 4,540.42

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