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Finding the Fourth Proportional to 4,963, 6,849.04 and 2,724.87

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Solution

The fourth proportional to 4,963, 6,849.04 and 2,724.87 is: 3,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963 : 6,849.04 = 2,724.87 : x
  2. Step 2: Convert to fraction form
    4,963/6,849.04 = 2,724.87/x
  3. Step 3: Cross multiply
    4,963x = 6,849.04 × 2,724.87
  4. Step 4: Simplify right side
    4,963x = 18,662,743.62
  5. Step 5: Solve for x
    x = 18,662,743.62/4,963
  6. Step 6: Final answer
    x = 3,760.38

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Why These Related Problems?

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