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Finding the Fourth Proportional to 3,840.50, 5,299.97 and 2,268.60

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Solution

The fourth proportional to 3,840.50, 5,299.97 and 2,268.60 is: 3,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.50 : 5,299.97 = 2,268.60 : x
  2. Step 2: Convert to fraction form
    3,840.50/5,299.97 = 2,268.60/x
  3. Step 3: Cross multiply
    3,840.50x = 5,299.97 × 2,268.60
  4. Step 4: Simplify right side
    3,840.50x = 12,023,480.72
  5. Step 5: Solve for x
    x = 12,023,480.72/3,840.50
  6. Step 6: Final answer
    x = 3,130.71

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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.