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Finding the Fourth Proportional to 5,896.71, 8,136.53 and 3,378.34

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Solution

The fourth proportional to 5,896.71, 8,136.53 and 3,378.34 is: 4,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.71 : 8,136.53 = 3,378.34 : x
  2. Step 2: Convert to fraction form
    5,896.71/8,136.53 = 3,378.34/x
  3. Step 3: Cross multiply
    5,896.71x = 8,136.53 × 3,378.34
  4. Step 4: Simplify right side
    5,896.71x = 27,487,932.52
  5. Step 5: Solve for x
    x = 27,487,932.52/5,896.71
  6. Step 6: Final answer
    x = 4,661.57

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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.