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Finding the Fourth Proportional to 5,969.75, 8,238.42 and 3,610.52

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Solution

The fourth proportional to 5,969.75, 8,238.42 and 3,610.52 is: 4,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.75 : 8,238.42 = 3,610.52 : x
  2. Step 2: Convert to fraction form
    5,969.75/8,238.42 = 3,610.52/x
  3. Step 3: Cross multiply
    5,969.75x = 8,238.42 × 3,610.52
  4. Step 4: Simplify right side
    5,969.75x = 29,744,980.18
  5. Step 5: Solve for x
    x = 29,744,980.18/5,969.75
  6. Step 6: Final answer
    x = 4,982.62

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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.