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Finding the Fourth Proportional to 5,969.78, 8,238.44 and 3,280.96

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Solution

The fourth proportional to 5,969.78, 8,238.44 and 3,280.96 is: 4,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.78 : 8,238.44 = 3,280.96 : x
  2. Step 2: Convert to fraction form
    5,969.78/8,238.44 = 3,280.96/x
  3. Step 3: Cross multiply
    5,969.78x = 8,238.44 × 3,280.96
  4. Step 4: Simplify right side
    5,969.78x = 27,029,992.10
  5. Step 5: Solve for x
    x = 27,029,992.10/5,969.78
  6. Step 6: Final answer
    x = 4,527.80

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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.