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Finding the Fourth Proportional to 5,965.54, 8,234.75 and 3,975.37

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Solution

The fourth proportional to 5,965.54, 8,234.75 and 3,975.37 is: 5,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.54 : 8,234.75 = 3,975.37 : x
  2. Step 2: Convert to fraction form
    5,965.54/8,234.75 = 3,975.37/x
  3. Step 3: Cross multiply
    5,965.54x = 8,234.75 × 3,975.37
  4. Step 4: Simplify right side
    5,965.54x = 32,736,178.82
  5. Step 5: Solve for x
    x = 32,736,178.82/5,965.54
  6. Step 6: Final answer
    x = 5,487.54

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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.