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Finding the Fourth Proportional to 3,696.80, 5,544.84 and 960.80

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Solution

The fourth proportional to 3,696.80, 5,544.84 and 960.80 is: 1,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.80 : 5,544.84 = 960.80 : x
  2. Step 2: Convert to fraction form
    3,696.80/5,544.84 = 960.80/x
  3. Step 3: Cross multiply
    3,696.80x = 5,544.84 × 960.80
  4. Step 4: Simplify right side
    3,696.80x = 5,327,482.27
  5. Step 5: Solve for x
    x = 5,327,482.27/3,696.80
  6. Step 6: Final answer
    x = 1,441.11

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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.