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Finding the Fourth Proportional to 3,839.36, 5,299.04 and 3,059.52

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Solution

The fourth proportional to 3,839.36, 5,299.04 and 3,059.52 is: 4,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.36 : 5,299.04 = 3,059.52 : x
  2. Step 2: Convert to fraction form
    3,839.36/5,299.04 = 3,059.52/x
  3. Step 3: Cross multiply
    3,839.36x = 5,299.04 × 3,059.52
  4. Step 4: Simplify right side
    3,839.36x = 16,212,518.86
  5. Step 5: Solve for x
    x = 16,212,518.86/3,839.36
  6. Step 6: Final answer
    x = 4,222.71

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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.