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Finding the Fourth Proportional to 3,958.25, 5,933.50 and 3,219.38

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Solution

The fourth proportional to 3,958.25, 5,933.50 and 3,219.38 is: 4,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.25 : 5,933.50 = 3,219.38 : x
  2. Step 2: Convert to fraction form
    3,958.25/5,933.50 = 3,219.38/x
  3. Step 3: Cross multiply
    3,958.25x = 5,933.50 × 3,219.38
  4. Step 4: Simplify right side
    3,958.25x = 19,102,191.23
  5. Step 5: Solve for x
    x = 19,102,191.23/3,958.25
  6. Step 6: Final answer
    x = 4,825.92

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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.