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Finding the Fourth Proportional to 3,976.22, 5,964.62 and 1,054.50

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Solution

The fourth proportional to 3,976.22, 5,964.62 and 1,054.50 is: 1,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.22 : 5,964.62 = 1,054.50 : x
  2. Step 2: Convert to fraction form
    3,976.22/5,964.62 = 1,054.50/x
  3. Step 3: Cross multiply
    3,976.22x = 5,964.62 × 1,054.50
  4. Step 4: Simplify right side
    3,976.22x = 6,289,691.79
  5. Step 5: Solve for x
    x = 6,289,691.79/3,976.22
  6. Step 6: Final answer
    x = 1,581.83

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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.