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Finding the Fourth Proportional to 4,687.14, 6,468.49 and 2,698

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Solution

The fourth proportional to 4,687.14, 6,468.49 and 2,698 is: 3,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.14 : 6,468.49 = 2,698 : x
  2. Step 2: Convert to fraction form
    4,687.14/6,468.49 = 2,698/x
  3. Step 3: Cross multiply
    4,687.14x = 6,468.49 × 2,698
  4. Step 4: Simplify right side
    4,687.14x = 17,451,986.02
  5. Step 5: Solve for x
    x = 17,451,986.02/4,687.14
  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.