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Finding the Fourth Proportional to 3,474.35, 4,794.55 and 1,902.44

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Solution

The fourth proportional to 3,474.35, 4,794.55 and 1,902.44 is: 2,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.35 : 4,794.55 = 1,902.44 : x
  2. Step 2: Convert to fraction form
    3,474.35/4,794.55 = 1,902.44/x
  3. Step 3: Cross multiply
    3,474.35x = 4,794.55 × 1,902.44
  4. Step 4: Simplify right side
    3,474.35x = 9,121,343.70
  5. Step 5: Solve for x
    x = 9,121,343.70/3,474.35
  6. Step 6: Final answer
    x = 2,625.34

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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.