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Finding the Fourth Proportional to 6,177, 8,525.86 and 3,694.44

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Solution

The fourth proportional to 6,177, 8,525.86 and 3,694.44 is: 5,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 8,525.86 = 3,694.44 : x
  2. Step 2: Convert to fraction form
    6,177/8,525.86 = 3,694.44/x
  3. Step 3: Cross multiply
    6,177x = 8,525.86 × 3,694.44
  4. Step 4: Simplify right side
    6,177x = 31,498,278.22
  5. Step 5: Solve for x
    x = 31,498,278.22/6,177
  6. Step 6: Final answer
    x = 5,099.28

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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.