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Finding the Fourth Proportional to 4,112.88, 6,169.32 and 1,034.88

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Solution

The fourth proportional to 4,112.88, 6,169.32 and 1,034.88 is: 1,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.88 : 6,169.32 = 1,034.88 : x
  2. Step 2: Convert to fraction form
    4,112.88/6,169.32 = 1,034.88/x
  3. Step 3: Cross multiply
    4,112.88x = 6,169.32 × 1,034.88
  4. Step 4: Simplify right side
    4,112.88x = 6,384,469.86
  5. Step 5: Solve for x
    x = 6,384,469.86/4,112.88
  6. Step 6: Final answer
    x = 1,552.31

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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.