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Finding the Fourth Proportional to 3,976.72, 5,965.16 and 1,055.05

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Solution

The fourth proportional to 3,976.72, 5,965.16 and 1,055.05 is: 1,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.72 : 5,965.16 = 1,055.05 : x
  2. Step 2: Convert to fraction form
    3,976.72/5,965.16 = 1,055.05/x
  3. Step 3: Cross multiply
    3,976.72x = 5,965.16 × 1,055.05
  4. Step 4: Simplify right side
    3,976.72x = 6,293,542.06
  5. Step 5: Solve for x
    x = 6,293,542.06/3,976.72
  6. Step 6: Final answer
    x = 1,582.60

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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.