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Finding the Fourth Proportional to 5,896.43, 8,137.87 and 5,398.18

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Solution

The fourth proportional to 5,896.43, 8,137.87 and 5,398.18 is: 7,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.43 : 8,137.87 = 5,398.18 : x
  2. Step 2: Convert to fraction form
    5,896.43/8,137.87 = 5,398.18/x
  3. Step 3: Cross multiply
    5,896.43x = 8,137.87 × 5,398.18
  4. Step 4: Simplify right side
    5,896.43x = 43,929,653.24
  5. Step 5: Solve for x
    x = 43,929,653.24/5,896.43
  6. Step 6: Final answer
    x = 7,450.21

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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.