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Finding the Fourth Proportional to 5,067.78, 6,994.44 and 2,971.86

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Solution

The fourth proportional to 5,067.78, 6,994.44 and 2,971.86 is: 4,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.78 : 6,994.44 = 2,971.86 : x
  2. Step 2: Convert to fraction form
    5,067.78/6,994.44 = 2,971.86/x
  3. Step 3: Cross multiply
    5,067.78x = 6,994.44 × 2,971.86
  4. Step 4: Simplify right side
    5,067.78x = 20,786,496.46
  5. Step 5: Solve for x
    x = 20,786,496.46/5,067.78
  6. Step 6: Final answer
    x = 4,101.70

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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.