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Finding the Fourth Proportional to 3,976.41, 5,964.69 and 1,054.74

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Solution

The fourth proportional to 3,976.41, 5,964.69 and 1,054.74 is: 1,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.41 : 5,964.69 = 1,054.74 : x
  2. Step 2: Convert to fraction form
    3,976.41/5,964.69 = 1,054.74/x
  3. Step 3: Cross multiply
    3,976.41x = 5,964.69 × 1,054.74
  4. Step 4: Simplify right side
    3,976.41x = 6,291,183.97
  5. Step 5: Solve for x
    x = 6,291,183.97/3,976.41
  6. Step 6: Final answer
    x = 1,582.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.