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Finding the Fourth Proportional to 3,847.15, 5,274.44 and 3,777.09

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Solution

The fourth proportional to 3,847.15, 5,274.44 and 3,777.09 is: 5,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.15 : 5,274.44 = 3,777.09 : x
  2. Step 2: Convert to fraction form
    3,847.15/5,274.44 = 3,777.09/x
  3. Step 3: Cross multiply
    3,847.15x = 5,274.44 × 3,777.09
  4. Step 4: Simplify right side
    3,847.15x = 19,922,034.58
  5. Step 5: Solve for x
    x = 19,922,034.58/3,847.15
  6. Step 6: Final answer
    x = 5,178.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.