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Finding the Fourth Proportional to 5,896.62, 8,137.40 and 3,244.05

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Solution

The fourth proportional to 5,896.62, 8,137.40 and 3,244.05 is: 4,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.62 : 8,137.40 = 3,244.05 : x
  2. Step 2: Convert to fraction form
    5,896.62/8,137.40 = 3,244.05/x
  3. Step 3: Cross multiply
    5,896.62x = 8,137.40 × 3,244.05
  4. Step 4: Simplify right side
    5,896.62x = 26,398,132.47
  5. Step 5: Solve for x
    x = 26,398,132.47/5,896.62
  6. Step 6: Final answer
    x = 4,476.82

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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.