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Finding the Fourth Proportional to 3,522.36, 5,273.46 and 2,793

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Solution

The fourth proportional to 3,522.36, 5,273.46 and 2,793 is: 4,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.36 : 5,273.46 = 2,793 : x
  2. Step 2: Convert to fraction form
    3,522.36/5,273.46 = 2,793/x
  3. Step 3: Cross multiply
    3,522.36x = 5,273.46 × 2,793
  4. Step 4: Simplify right side
    3,522.36x = 14,728,773.78
  5. Step 5: Solve for x
    x = 14,728,773.78/3,522.36
  6. Step 6: Final answer
    x = 4,181.51

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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.