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Finding the Fourth Proportional to 3,974.26, 5,962.01 and 1,200.58

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Solution

The fourth proportional to 3,974.26, 5,962.01 and 1,200.58 is: 1,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.26 : 5,962.01 = 1,200.58 : x
  2. Step 2: Convert to fraction form
    3,974.26/5,962.01 = 1,200.58/x
  3. Step 3: Cross multiply
    3,974.26x = 5,962.01 × 1,200.58
  4. Step 4: Simplify right side
    3,974.26x = 7,157,884.87
  5. Step 5: Solve for x
    x = 7,157,884.87/3,974.26
  6. Step 6: Final answer
    x = 1,801.06

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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.