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Finding the Fourth Proportional to 3,678.38, 5,076.11 and 1,999.74

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Solution

The fourth proportional to 3,678.38, 5,076.11 and 1,999.74 is: 2,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.38 : 5,076.11 = 1,999.74 : x
  2. Step 2: Convert to fraction form
    3,678.38/5,076.11 = 1,999.74/x
  3. Step 3: Cross multiply
    3,678.38x = 5,076.11 × 1,999.74
  4. Step 4: Simplify right side
    3,678.38x = 10,150,890.21
  5. Step 5: Solve for x
    x = 10,150,890.21/3,678.38
  6. Step 6: Final answer
    x = 2,759.61

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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.