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Finding the Fourth Proportional to 3,821.58, 5,729.33 and 1,481.49

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Solution

The fourth proportional to 3,821.58, 5,729.33 and 1,481.49 is: 2,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.58 : 5,729.33 = 1,481.49 : x
  2. Step 2: Convert to fraction form
    3,821.58/5,729.33 = 1,481.49/x
  3. Step 3: Cross multiply
    3,821.58x = 5,729.33 × 1,481.49
  4. Step 4: Simplify right side
    3,821.58x = 8,487,948.81
  5. Step 5: Solve for x
    x = 8,487,948.81/3,821.58
  6. Step 6: Final answer
    x = 2,221.06

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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.