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Finding the Fourth Proportional to 3,976.54, 5,965.74 and 1,203.23

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Solution

The fourth proportional to 3,976.54, 5,965.74 and 1,203.23 is: 1,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.54 : 5,965.74 = 1,203.23 : x
  2. Step 2: Convert to fraction form
    3,976.54/5,965.74 = 1,203.23/x
  3. Step 3: Cross multiply
    3,976.54x = 5,965.74 × 1,203.23
  4. Step 4: Simplify right side
    3,976.54x = 7,178,176.77
  5. Step 5: Solve for x
    x = 7,178,176.77/3,976.54
  6. Step 6: Final answer
    x = 1,805.13

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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.