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Finding the Fourth Proportional to 4,074.36, 6,111.56 and 996.36

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Solution

The fourth proportional to 4,074.36, 6,111.56 and 996.36 is: 1,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.36 : 6,111.56 = 996.36 : x
  2. Step 2: Convert to fraction form
    4,074.36/6,111.56 = 996.36/x
  3. Step 3: Cross multiply
    4,074.36x = 6,111.56 × 996.36
  4. Step 4: Simplify right side
    4,074.36x = 6,089,313.92
  5. Step 5: Solve for x
    x = 6,089,313.92/4,074.36
  6. Step 6: Final answer
    x = 1,494.54

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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.