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Finding the Fourth Proportional to 3,801.42, 5,245.83 and 2,122.97

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Solution

The fourth proportional to 3,801.42, 5,245.83 and 2,122.97 is: 2,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.42 : 5,245.83 = 2,122.97 : x
  2. Step 2: Convert to fraction form
    3,801.42/5,245.83 = 2,122.97/x
  3. Step 3: Cross multiply
    3,801.42x = 5,245.83 × 2,122.97
  4. Step 4: Simplify right side
    3,801.42x = 11,136,713.49
  5. Step 5: Solve for x
    x = 11,136,713.49/3,801.42
  6. Step 6: Final answer
    x = 2,929.62

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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.