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Finding the Fourth Proportional to 5,896.16, 8,136.69 and 3,243.62

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Solution

The fourth proportional to 5,896.16, 8,136.69 and 3,243.62 is: 4,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.16 : 8,136.69 = 3,243.62 : x
  2. Step 2: Convert to fraction form
    5,896.16/8,136.69 = 3,243.62/x
  3. Step 3: Cross multiply
    5,896.16x = 8,136.69 × 3,243.62
  4. Step 4: Simplify right side
    5,896.16x = 26,392,330.42
  5. Step 5: Solve for x
    x = 26,392,330.42/5,896.16
  6. Step 6: Final answer
    x = 4,476.19

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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.