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Finding the Fourth Proportional to 3,474.88, 4,795.33 and 1,902.97

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Solution

The fourth proportional to 3,474.88, 4,795.33 and 1,902.97 is: 2,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.88 : 4,795.33 = 1,902.97 : x
  2. Step 2: Convert to fraction form
    3,474.88/4,795.33 = 1,902.97/x
  3. Step 3: Cross multiply
    3,474.88x = 4,795.33 × 1,902.97
  4. Step 4: Simplify right side
    3,474.88x = 9,125,369.13
  5. Step 5: Solve for x
    x = 9,125,369.13/3,474.88
  6. Step 6: Final answer
    x = 2,626.10

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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.