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Finding the Fourth Proportional to 5,902.86, 8,835.57 and 3,297.90

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Solution

The fourth proportional to 5,902.86, 8,835.57 and 3,297.90 is: 4,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.86 : 8,835.57 = 3,297.90 : x
  2. Step 2: Convert to fraction form
    5,902.86/8,835.57 = 3,297.90/x
  3. Step 3: Cross multiply
    5,902.86x = 8,835.57 × 3,297.90
  4. Step 4: Simplify right side
    5,902.86x = 29,138,826.30
  5. Step 5: Solve for x
    x = 29,138,826.30/5,902.86
  6. Step 6: Final answer
    x = 4,936.39

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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.