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Finding the Fourth Proportional to 5,231.52, 7,836.48 and 3,773.52

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Solution

The fourth proportional to 5,231.52, 7,836.48 and 3,773.52 is: 5,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.52 : 7,836.48 = 3,773.52 : x
  2. Step 2: Convert to fraction form
    5,231.52/7,836.48 = 3,773.52/x
  3. Step 3: Cross multiply
    5,231.52x = 7,836.48 × 3,773.52
  4. Step 4: Simplify right side
    5,231.52x = 29,571,114.01
  5. Step 5: Solve for x
    x = 29,571,114.01/5,231.52
  6. Step 6: Final answer
    x = 5,652.49

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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.