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Finding the Fourth Proportional to 4,112.52, 6,169.11 and 1,338.45

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Solution

The fourth proportional to 4,112.52, 6,169.11 and 1,338.45 is: 2,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.52 : 6,169.11 = 1,338.45 : x
  2. Step 2: Convert to fraction form
    4,112.52/6,169.11 = 1,338.45/x
  3. Step 3: Cross multiply
    4,112.52x = 6,169.11 × 1,338.45
  4. Step 4: Simplify right side
    4,112.52x = 8,257,045.28
  5. Step 5: Solve for x
    x = 8,257,045.28/4,112.52
  6. Step 6: Final answer
    x = 2,007.78

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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.