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Finding the Fourth Proportional to 3,840.53, 5,300.09 and 2,161.94

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Solution

The fourth proportional to 3,840.53, 5,300.09 and 2,161.94 is: 2,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.53 : 5,300.09 = 2,161.94 : x
  2. Step 2: Convert to fraction form
    3,840.53/5,300.09 = 2,161.94/x
  3. Step 3: Cross multiply
    3,840.53x = 5,300.09 × 2,161.94
  4. Step 4: Simplify right side
    3,840.53x = 11,458,439.26
  5. Step 5: Solve for x
    x = 11,458,439.26/3,840.53
  6. Step 6: Final answer
    x = 2,983.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.