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Finding the Fourth Proportional to 3,794.99, 5,682.42 and 2,969.37

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Solution

The fourth proportional to 3,794.99, 5,682.42 and 2,969.37 is: 4,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.99 : 5,682.42 = 2,969.37 : x
  2. Step 2: Convert to fraction form
    3,794.99/5,682.42 = 2,969.37/x
  3. Step 3: Cross multiply
    3,794.99x = 5,682.42 × 2,969.37
  4. Step 4: Simplify right side
    3,794.99x = 16,873,207.48
  5. Step 5: Solve for x
    x = 16,873,207.48/3,794.99
  6. Step 6: Final answer
    x = 4,446.19

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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.