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Finding the Fourth Proportional to 3,971.99, 5,958.05 and 1,782.27

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Solution

The fourth proportional to 3,971.99, 5,958.05 and 1,782.27 is: 2,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.99 : 5,958.05 = 1,782.27 : x
  2. Step 2: Convert to fraction form
    3,971.99/5,958.05 = 1,782.27/x
  3. Step 3: Cross multiply
    3,971.99x = 5,958.05 × 1,782.27
  4. Step 4: Simplify right side
    3,971.99x = 10,618,844.86
  5. Step 5: Solve for x
    x = 10,618,844.86/3,971.99
  6. Step 6: Final answer
    x = 2,673.43

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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.