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Finding the Fourth Proportional to 4,963.64, 6,850.17 and 3,282.12

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Solution

The fourth proportional to 4,963.64, 6,850.17 and 3,282.12 is: 4,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.64 : 6,850.17 = 3,282.12 : x
  2. Step 2: Convert to fraction form
    4,963.64/6,850.17 = 3,282.12/x
  3. Step 3: Cross multiply
    4,963.64x = 6,850.17 × 3,282.12
  4. Step 4: Simplify right side
    4,963.64x = 22,483,097.09
  5. Step 5: Solve for x
    x = 22,483,097.09/4,963.64
  6. Step 6: Final answer
    x = 4,529.56

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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.