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Finding the Fourth Proportional to 3,522.78, 5,284.17 and 1,057.86

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Solution

The fourth proportional to 3,522.78, 5,284.17 and 1,057.86 is: 1,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.78 : 5,284.17 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    3,522.78/5,284.17 = 1,057.86/x
  3. Step 3: Cross multiply
    3,522.78x = 5,284.17 × 1,057.86
  4. Step 4: Simplify right side
    3,522.78x = 5,589,912.08
  5. Step 5: Solve for x
    x = 5,589,912.08/3,522.78
  6. Step 6: Final answer
    x = 1,586.79

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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.