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Finding the Fourth Proportional to 4,935.71, 6,811.16 and 2,697.59

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Solution

The fourth proportional to 4,935.71, 6,811.16 and 2,697.59 is: 3,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.71 : 6,811.16 = 2,697.59 : x
  2. Step 2: Convert to fraction form
    4,935.71/6,811.16 = 2,697.59/x
  3. Step 3: Cross multiply
    4,935.71x = 6,811.16 × 2,697.59
  4. Step 4: Simplify right side
    4,935.71x = 18,373,703.62
  5. Step 5: Solve for x
    x = 18,373,703.62/4,935.71
  6. Step 6: Final answer
    x = 3,722.61

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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.