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Finding the Fourth Proportional to 5,896.25, 8,832.78 and 3,425.88

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Solution

The fourth proportional to 5,896.25, 8,832.78 and 3,425.88 is: 5,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.25 : 8,832.78 = 3,425.88 : x
  2. Step 2: Convert to fraction form
    5,896.25/8,832.78 = 3,425.88/x
  3. Step 3: Cross multiply
    5,896.25x = 8,832.78 × 3,425.88
  4. Step 4: Simplify right side
    5,896.25x = 30,260,044.35
  5. Step 5: Solve for x
    x = 30,260,044.35/5,896.25
  6. Step 6: Final answer
    x = 5,132.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.