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Finding the Fourth Proportional to 4,963.82, 6,850.07 and 2,725.83

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Solution

The fourth proportional to 4,963.82, 6,850.07 and 2,725.83 is: 3,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.82 : 6,850.07 = 2,725.83 : x
  2. Step 2: Convert to fraction form
    4,963.82/6,850.07 = 2,725.83/x
  3. Step 3: Cross multiply
    4,963.82x = 6,850.07 × 2,725.83
  4. Step 4: Simplify right side
    4,963.82x = 18,672,158.81
  5. Step 5: Solve for x
    x = 18,672,158.81/4,963.82
  6. Step 6: Final answer
    x = 3,761.65

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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.