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Finding the Fourth Proportional to 5,747.25, 7,928.33 and 3,859.30

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Solution

The fourth proportional to 5,747.25, 7,928.33 and 3,859.30 is: 5,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.25 : 7,928.33 = 3,859.30 : x
  2. Step 2: Convert to fraction form
    5,747.25/7,928.33 = 3,859.30/x
  3. Step 3: Cross multiply
    5,747.25x = 7,928.33 × 3,859.30
  4. Step 4: Simplify right side
    5,747.25x = 30,597,771.69
  5. Step 5: Solve for x
    x = 30,597,771.69/5,747.25
  6. Step 6: Final answer
    x = 5,323.89

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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.