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Finding the Fourth Proportional to 5,837.92, 8,757 and 3,257.28

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Solution

The fourth proportional to 5,837.92, 8,757 and 3,257.28 is: 4,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.92 : 8,757 = 3,257.28 : x
  2. Step 2: Convert to fraction form
    5,837.92/8,757 = 3,257.28/x
  3. Step 3: Cross multiply
    5,837.92x = 8,757 × 3,257.28
  4. Step 4: Simplify right side
    5,837.92x = 28,524,000.96
  5. Step 5: Solve for x
    x = 28,524,000.96/5,837.92
  6. Step 6: Final answer
    x = 4,885.99

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Why These Related Problems?

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