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Finding the Fourth Proportional to 5,896.14, 8,136.71 and 3,243.48

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Solution

The fourth proportional to 5,896.14, 8,136.71 and 3,243.48 is: 4,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.14 : 8,136.71 = 3,243.48 : x
  2. Step 2: Convert to fraction form
    5,896.14/8,136.71 = 3,243.48/x
  3. Step 3: Cross multiply
    5,896.14x = 8,136.71 × 3,243.48
  4. Step 4: Simplify right side
    5,896.14x = 26,391,256.15
  5. Step 5: Solve for x
    x = 26,391,256.15/5,896.14
  6. Step 6: Final answer
    x = 4,476.02

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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.