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Finding the Fourth Proportional to 3,840.24, 5,761.20 and 1,243.20

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Solution

The fourth proportional to 3,840.24, 5,761.20 and 1,243.20 is: 1,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.24 : 5,761.20 = 1,243.20 : x
  2. Step 2: Convert to fraction form
    3,840.24/5,761.20 = 1,243.20/x
  3. Step 3: Cross multiply
    3,840.24x = 5,761.20 × 1,243.20
  4. Step 4: Simplify right side
    3,840.24x = 7,162,323.84
  5. Step 5: Solve for x
    x = 7,162,323.84/3,840.24
  6. Step 6: Final answer
    x = 1,865.07

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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.