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Finding the Fourth Proportional to 5,468.48, 8,202.24 and 2,835.86

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Solution

The fourth proportional to 5,468.48, 8,202.24 and 2,835.86 is: 4,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.48 : 8,202.24 = 2,835.86 : x
  2. Step 2: Convert to fraction form
    5,468.48/8,202.24 = 2,835.86/x
  3. Step 3: Cross multiply
    5,468.48x = 8,202.24 × 2,835.86
  4. Step 4: Simplify right side
    5,468.48x = 23,260,404.33
  5. Step 5: Solve for x
    x = 23,260,404.33/5,468.48
  6. Step 6: Final answer
    x = 4,253.54

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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.