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Finding the Fourth Proportional to 5,969.99, 8,238.67 and 3,612.14

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Solution

The fourth proportional to 5,969.99, 8,238.67 and 3,612.14 is: 4,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.99 : 8,238.67 = 3,612.14 : x
  2. Step 2: Convert to fraction form
    5,969.99/8,238.67 = 3,612.14/x
  3. Step 3: Cross multiply
    5,969.99x = 8,238.67 × 3,612.14
  4. Step 4: Simplify right side
    5,969.99x = 29,759,188.26
  5. Step 5: Solve for x
    x = 29,759,188.26/5,969.99
  6. Step 6: Final answer
    x = 4,984.80

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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.