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Finding the Fourth Proportional to 3,474.64, 4,794.82 and 1,902.70

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Solution

The fourth proportional to 3,474.64, 4,794.82 and 1,902.70 is: 2,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.64 : 4,794.82 = 1,902.70 : x
  2. Step 2: Convert to fraction form
    3,474.64/4,794.82 = 1,902.70/x
  3. Step 3: Cross multiply
    3,474.64x = 4,794.82 × 1,902.70
  4. Step 4: Simplify right side
    3,474.64x = 9,123,104.01
  5. Step 5: Solve for x
    x = 9,123,104.01/3,474.64
  6. Step 6: Final answer
    x = 2,625.63

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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.