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Finding the Fourth Proportional to 3,327.57, 4,991.74 and 1,106.60

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Solution

The fourth proportional to 3,327.57, 4,991.74 and 1,106.60 is: 1,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.57 : 4,991.74 = 1,106.60 : x
  2. Step 2: Convert to fraction form
    3,327.57/4,991.74 = 1,106.60/x
  3. Step 3: Cross multiply
    3,327.57x = 4,991.74 × 1,106.60
  4. Step 4: Simplify right side
    3,327.57x = 5,523,859.48
  5. Step 5: Solve for x
    x = 5,523,859.48/3,327.57
  6. Step 6: Final answer
    x = 1,660.03

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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.