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Finding the Fourth Proportional to 5,902, 8,144.61 and 3,249.38

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Solution

The fourth proportional to 5,902, 8,144.61 and 3,249.38 is: 4,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 8,144.61 = 3,249.38 : x
  2. Step 2: Convert to fraction form
    5,902/8,144.61 = 3,249.38/x
  3. Step 3: Cross multiply
    5,902x = 8,144.61 × 3,249.38
  4. Step 4: Simplify right side
    5,902x = 26,464,932.84
  5. Step 5: Solve for x
    x = 26,464,932.84/5,902
  6. Step 6: Final answer
    x = 4,484.06

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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.