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Finding the Fourth Proportional to 3,964.84, 5,470.86 and 2,286.31

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Solution

The fourth proportional to 3,964.84, 5,470.86 and 2,286.31 is: 3,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.84 : 5,470.86 = 2,286.31 : x
  2. Step 2: Convert to fraction form
    3,964.84/5,470.86 = 2,286.31/x
  3. Step 3: Cross multiply
    3,964.84x = 5,470.86 × 2,286.31
  4. Step 4: Simplify right side
    3,964.84x = 12,508,081.93
  5. Step 5: Solve for x
    x = 12,508,081.93/3,964.84
  6. Step 6: Final answer
    x = 3,154.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.