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Finding the Fourth Proportional to 5,902.86, 8,150.68 and 4,018.38

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Solution

The fourth proportional to 5,902.86, 8,150.68 and 4,018.38 is: 5,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.86 : 8,150.68 = 4,018.38 : x
  2. Step 2: Convert to fraction form
    5,902.86/8,150.68 = 4,018.38/x
  3. Step 3: Cross multiply
    5,902.86x = 8,150.68 × 4,018.38
  4. Step 4: Simplify right side
    5,902.86x = 32,752,529.50
  5. Step 5: Solve for x
    x = 32,752,529.50/5,902.86
  6. Step 6: Final answer
    x = 5,548.59

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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.