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Finding the Fourth Proportional to 3,844.67, 5,768.73 and 1,869.22

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Solution

The fourth proportional to 3,844.67, 5,768.73 and 1,869.22 is: 2,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.67 : 5,768.73 = 1,869.22 : x
  2. Step 2: Convert to fraction form
    3,844.67/5,768.73 = 1,869.22/x
  3. Step 3: Cross multiply
    3,844.67x = 5,768.73 × 1,869.22
  4. Step 4: Simplify right side
    3,844.67x = 10,782,987.30
  5. Step 5: Solve for x
    x = 10,782,987.30/3,844.67
  6. Step 6: Final answer
    x = 2,804.66

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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.