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Finding the Fourth Proportional to 3,786.03, 5,679.27 and 1,012.77

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Solution

The fourth proportional to 3,786.03, 5,679.27 and 1,012.77 is: 1,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.03 : 5,679.27 = 1,012.77 : x
  2. Step 2: Convert to fraction form
    3,786.03/5,679.27 = 1,012.77/x
  3. Step 3: Cross multiply
    3,786.03x = 5,679.27 × 1,012.77
  4. Step 4: Simplify right side
    3,786.03x = 5,751,794.28
  5. Step 5: Solve for x
    x = 5,751,794.28/3,786.03
  6. Step 6: Final answer
    x = 1,519.22

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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.