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Finding the Fourth Proportional to 3,836.90, 5,755.34 and 1,644.20

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Solution

The fourth proportional to 3,836.90, 5,755.34 and 1,644.20 is: 2,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.90 : 5,755.34 = 1,644.20 : x
  2. Step 2: Convert to fraction form
    3,836.90/5,755.34 = 1,644.20/x
  3. Step 3: Cross multiply
    3,836.90x = 5,755.34 × 1,644.20
  4. Step 4: Simplify right side
    3,836.90x = 9,462,948.53
  5. Step 5: Solve for x
    x = 9,462,948.53/3,836.90
  6. Step 6: Final answer
    x = 2,466.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.