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Finding the Fourth Proportional to 3,474.66, 4,794.87 and 1,902.45

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Solution

The fourth proportional to 3,474.66, 4,794.87 and 1,902.45 is: 2,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.66 : 4,794.87 = 1,902.45 : x
  2. Step 2: Convert to fraction form
    3,474.66/4,794.87 = 1,902.45/x
  3. Step 3: Cross multiply
    3,474.66x = 4,794.87 × 1,902.45
  4. Step 4: Simplify right side
    3,474.66x = 9,122,000.43
  5. Step 5: Solve for x
    x = 9,122,000.43/3,474.66
  6. Step 6: Final answer
    x = 2,625.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.