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Finding the Fourth Proportional to 3,673, 5,066.44 and 2,179.86

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Solution

The fourth proportional to 3,673, 5,066.44 and 2,179.86 is: 3,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673 : 5,066.44 = 2,179.86 : x
  2. Step 2: Convert to fraction form
    3,673/5,066.44 = 2,179.86/x
  3. Step 3: Cross multiply
    3,673x = 5,066.44 × 2,179.86
  4. Step 4: Simplify right side
    3,673x = 11,044,129.90
  5. Step 5: Solve for x
    x = 11,044,129.90/3,673
  6. Step 6: Final answer
    x = 3,006.84

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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.