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Finding the Fourth Proportional to 3,976.97, 5,965.54 and 1,055.30

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Solution

The fourth proportional to 3,976.97, 5,965.54 and 1,055.30 is: 1,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.97 : 5,965.54 = 1,055.30 : x
  2. Step 2: Convert to fraction form
    3,976.97/5,965.54 = 1,055.30/x
  3. Step 3: Cross multiply
    3,976.97x = 5,965.54 × 1,055.30
  4. Step 4: Simplify right side
    3,976.97x = 6,295,401.90
  5. Step 5: Solve for x
    x = 6,295,401.90/3,976.97
  6. Step 6: Final answer
    x = 1,582.97

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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.