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Finding the Fourth Proportional to 3,842.28, 5,305.38 and 3,093.84

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Solution

The fourth proportional to 3,842.28, 5,305.38 and 3,093.84 is: 4,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.28 : 5,305.38 = 3,093.84 : x
  2. Step 2: Convert to fraction form
    3,842.28/5,305.38 = 3,093.84/x
  3. Step 3: Cross multiply
    3,842.28x = 5,305.38 × 3,093.84
  4. Step 4: Simplify right side
    3,842.28x = 16,413,996.86
  5. Step 5: Solve for x
    x = 16,413,996.86/3,842.28
  6. Step 6: Final answer
    x = 4,271.94

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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.