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Finding the Fourth Proportional to 5,896.33, 8,136.12 and 4,704.28

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Solution

The fourth proportional to 5,896.33, 8,136.12 and 4,704.28 is: 6,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.33 : 8,136.12 = 4,704.28 : x
  2. Step 2: Convert to fraction form
    5,896.33/8,136.12 = 4,704.28/x
  3. Step 3: Cross multiply
    5,896.33x = 8,136.12 × 4,704.28
  4. Step 4: Simplify right side
    5,896.33x = 38,274,586.59
  5. Step 5: Solve for x
    x = 38,274,586.59/5,896.33
  6. Step 6: Final answer
    x = 6,491.26

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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.