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Finding the Fourth Proportional to 4,935.69, 6,811.73 and 2,697.91

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Solution

The fourth proportional to 4,935.69, 6,811.73 and 2,697.91 is: 3,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.69 : 6,811.73 = 2,697.91 : x
  2. Step 2: Convert to fraction form
    4,935.69/6,811.73 = 2,697.91/x
  3. Step 3: Cross multiply
    4,935.69x = 6,811.73 × 2,697.91
  4. Step 4: Simplify right side
    4,935.69x = 18,377,434.48
  5. Step 5: Solve for x
    x = 18,377,434.48/4,935.69
  6. Step 6: Final answer
    x = 3,723.38

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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.