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Finding the Fourth Proportional to 3,840.93, 5,761.49 and 1,243.85

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Solution

The fourth proportional to 3,840.93, 5,761.49 and 1,243.85 is: 1,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.93 : 5,761.49 = 1,243.85 : x
  2. Step 2: Convert to fraction form
    3,840.93/5,761.49 = 1,243.85/x
  3. Step 3: Cross multiply
    3,840.93x = 5,761.49 × 1,243.85
  4. Step 4: Simplify right side
    3,840.93x = 7,166,394.31
  5. Step 5: Solve for x
    x = 7,166,394.31/3,840.93
  6. Step 6: Final answer
    x = 1,865.80

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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.