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Finding the Fourth Proportional to 5,312.96, 7,969.39 and 3,233.56

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Solution

The fourth proportional to 5,312.96, 7,969.39 and 3,233.56 is: 4,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.96 : 7,969.39 = 3,233.56 : x
  2. Step 2: Convert to fraction form
    5,312.96/7,969.39 = 3,233.56/x
  3. Step 3: Cross multiply
    5,312.96x = 7,969.39 × 3,233.56
  4. Step 4: Simplify right side
    5,312.96x = 25,769,472.72
  5. Step 5: Solve for x
    x = 25,769,472.72/5,312.96
  6. Step 6: Final answer
    x = 4,850.30

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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.