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Finding the Fourth Proportional to 5,896.26, 8,137.17 and 3,378.65

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Solution

The fourth proportional to 5,896.26, 8,137.17 and 3,378.65 is: 4,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.26 : 8,137.17 = 3,378.65 : x
  2. Step 2: Convert to fraction form
    5,896.26/8,137.17 = 3,378.65/x
  3. Step 3: Cross multiply
    5,896.26x = 8,137.17 × 3,378.65
  4. Step 4: Simplify right side
    5,896.26x = 27,492,608.73
  5. Step 5: Solve for x
    x = 27,492,608.73/5,896.26
  6. Step 6: Final answer
    x = 4,662.72

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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.