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Finding the Fourth Proportional to 4,074.94, 6,112.41 and 996.94

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Solution

The fourth proportional to 4,074.94, 6,112.41 and 996.94 is: 1,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.94 : 6,112.41 = 996.94 : x
  2. Step 2: Convert to fraction form
    4,074.94/6,112.41 = 996.94/x
  3. Step 3: Cross multiply
    4,074.94x = 6,112.41 × 996.94
  4. Step 4: Simplify right side
    4,074.94x = 6,093,690.74
  5. Step 5: Solve for x
    x = 6,093,690.74/4,074.94
  6. Step 6: Final answer
    x = 1,495.41

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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.