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Finding the Fourth Proportional to 3,576.58, 5,361.77 and 1,383.80

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Solution

The fourth proportional to 3,576.58, 5,361.77 and 1,383.80 is: 2,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.58 : 5,361.77 = 1,383.80 : x
  2. Step 2: Convert to fraction form
    3,576.58/5,361.77 = 1,383.80/x
  3. Step 3: Cross multiply
    3,576.58x = 5,361.77 × 1,383.80
  4. Step 4: Simplify right side
    3,576.58x = 7,419,617.33
  5. Step 5: Solve for x
    x = 7,419,617.33/3,576.58
  6. Step 6: Final answer
    x = 2,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.