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Finding the Fourth Proportional to 5,208.35, 7,807.05 and 3,233.97

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Solution

The fourth proportional to 5,208.35, 7,807.05 and 3,233.97 is: 4,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.35 : 7,807.05 = 3,233.97 : x
  2. Step 2: Convert to fraction form
    5,208.35/7,807.05 = 3,233.97/x
  3. Step 3: Cross multiply
    5,208.35x = 7,807.05 × 3,233.97
  4. Step 4: Simplify right side
    5,208.35x = 25,247,765.49
  5. Step 5: Solve for x
    x = 25,247,765.49/5,208.35
  6. Step 6: Final answer
    x = 4,847.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.