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Finding the Fourth Proportional to 3,474.24, 4,794.51 and 1,902.42

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Solution

The fourth proportional to 3,474.24, 4,794.51 and 1,902.42 is: 2,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.24 : 4,794.51 = 1,902.42 : x
  2. Step 2: Convert to fraction form
    3,474.24/4,794.51 = 1,902.42/x
  3. Step 3: Cross multiply
    3,474.24x = 4,794.51 × 1,902.42
  4. Step 4: Simplify right side
    3,474.24x = 9,121,171.71
  5. Step 5: Solve for x
    x = 9,121,171.71/3,474.24
  6. Step 6: Final answer
    x = 2,625.37

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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.