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Finding the Fourth Proportional to 5,896.17, 8,136.95 and 3,243.53

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Solution

The fourth proportional to 5,896.17, 8,136.95 and 3,243.53 is: 4,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.17 : 8,136.95 = 3,243.53 : x
  2. Step 2: Convert to fraction form
    5,896.17/8,136.95 = 3,243.53/x
  3. Step 3: Cross multiply
    5,896.17x = 8,136.95 × 3,243.53
  4. Step 4: Simplify right side
    5,896.17x = 26,392,384.53
  5. Step 5: Solve for x
    x = 26,392,384.53/5,896.17
  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.