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Finding the Fourth Proportional to 3,975.67, 5,963.60 and 1,202.33

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Solution

The fourth proportional to 3,975.67, 5,963.60 and 1,202.33 is: 1,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.67 : 5,963.60 = 1,202.33 : x
  2. Step 2: Convert to fraction form
    3,975.67/5,963.60 = 1,202.33/x
  3. Step 3: Cross multiply
    3,975.67x = 5,963.60 × 1,202.33
  4. Step 4: Simplify right side
    3,975.67x = 7,170,179.36
  5. Step 5: Solve for x
    x = 7,170,179.36/3,975.67
  6. Step 6: Final answer
    x = 1,803.52

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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.