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Finding the Fourth Proportional to 4,786.42, 7,194.27 and 3,969.94

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Solution

The fourth proportional to 4,786.42, 7,194.27 and 3,969.94 is: 5,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.42 : 7,194.27 = 3,969.94 : x
  2. Step 2: Convert to fraction form
    4,786.42/7,194.27 = 3,969.94/x
  3. Step 3: Cross multiply
    4,786.42x = 7,194.27 × 3,969.94
  4. Step 4: Simplify right side
    4,786.42x = 28,560,820.24
  5. Step 5: Solve for x
    x = 28,560,820.24/4,786.42
  6. Step 6: Final answer
    x = 5,967.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.