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Finding the Fourth Proportional to 4,964.49, 6,853.14 and 3,286.71

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Solution

The fourth proportional to 4,964.49, 6,853.14 and 3,286.71 is: 4,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.49 : 6,853.14 = 3,286.71 : x
  2. Step 2: Convert to fraction form
    4,964.49/6,853.14 = 3,286.71/x
  3. Step 3: Cross multiply
    4,964.49x = 6,853.14 × 3,286.71
  4. Step 4: Simplify right side
    4,964.49x = 22,524,283.77
  5. Step 5: Solve for x
    x = 22,524,283.77/4,964.49
  6. Step 6: Final answer
    x = 4,537.08

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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.