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Finding the Fourth Proportional to 5,896.54, 8,144.31 and 5,120.29

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Solution

The fourth proportional to 5,896.54, 8,144.31 and 5,120.29 is: 7,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.54 : 8,144.31 = 5,120.29 : x
  2. Step 2: Convert to fraction form
    5,896.54/8,144.31 = 5,120.29/x
  3. Step 3: Cross multiply
    5,896.54x = 8,144.31 × 5,120.29
  4. Step 4: Simplify right side
    5,896.54x = 41,701,229.05
  5. Step 5: Solve for x
    x = 41,701,229.05/5,896.54
  6. Step 6: Final answer
    x = 7,072.15

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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.