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Finding the Fourth Proportional to 3,976.94, 5,965.48 and 1,203.64

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Solution

The fourth proportional to 3,976.94, 5,965.48 and 1,203.64 is: 1,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.94 : 5,965.48 = 1,203.64 : x
  2. Step 2: Convert to fraction form
    3,976.94/5,965.48 = 1,203.64/x
  3. Step 3: Cross multiply
    3,976.94x = 5,965.48 × 1,203.64
  4. Step 4: Simplify right side
    3,976.94x = 7,180,290.35
  5. Step 5: Solve for x
    x = 7,180,290.35/3,976.94
  6. Step 6: Final answer
    x = 1,805.48

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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.