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Finding the Fourth Proportional to 3,661.80, 5,052.96 and 2,169.46

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Solution

The fourth proportional to 3,661.80, 5,052.96 and 2,169.46 is: 2,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.80 : 5,052.96 = 2,169.46 : x
  2. Step 2: Convert to fraction form
    3,661.80/5,052.96 = 2,169.46/x
  3. Step 3: Cross multiply
    3,661.80x = 5,052.96 × 2,169.46
  4. Step 4: Simplify right side
    3,661.80x = 10,962,194.60
  5. Step 5: Solve for x
    x = 10,962,194.60/3,661.80
  6. Step 6: Final answer
    x = 2,993.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.