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Finding the Fourth Proportional to 3,474, 4,794.12 and 2,077.08

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Solution

The fourth proportional to 3,474, 4,794.12 and 2,077.08 is: 2,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474 : 4,794.12 = 2,077.08 : x
  2. Step 2: Convert to fraction form
    3,474/4,794.12 = 2,077.08/x
  3. Step 3: Cross multiply
    3,474x = 4,794.12 × 2,077.08
  4. Step 4: Simplify right side
    3,474x = 9,957,770.77
  5. Step 5: Solve for x
    x = 9,957,770.77/3,474
  6. Step 6: Final answer
    x = 2,866.37

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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.