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Finding the Fourth Proportional to 5,902.38, 8,145 and 3,249.90

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Solution

The fourth proportional to 5,902.38, 8,145 and 3,249.90 is: 4,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.38 : 8,145 = 3,249.90 : x
  2. Step 2: Convert to fraction form
    5,902.38/8,145 = 3,249.90/x
  3. Step 3: Cross multiply
    5,902.38x = 8,145 × 3,249.90
  4. Step 4: Simplify right side
    5,902.38x = 26,470,435.50
  5. Step 5: Solve for x
    x = 26,470,435.50/5,902.38
  6. Step 6: Final answer
    x = 4,484.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.