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Finding the Fourth Proportional to 4,909, 6,774.42 and 2,701

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Solution

The fourth proportional to 4,909, 6,774.42 and 2,701 is: 3,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909 : 6,774.42 = 2,701 : x
  2. Step 2: Convert to fraction form
    4,909/6,774.42 = 2,701/x
  3. Step 3: Cross multiply
    4,909x = 6,774.42 × 2,701
  4. Step 4: Simplify right side
    4,909x = 18,297,708.42
  5. Step 5: Solve for x
    x = 18,297,708.42/4,909
  6. Step 6: Final answer
    x = 3,727.38

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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.