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Finding the Fourth Proportional to 5,198.72, 7,795.71 and 3,361.64

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Solution

The fourth proportional to 5,198.72, 7,795.71 and 3,361.64 is: 5,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.72 : 7,795.71 = 3,361.64 : x
  2. Step 2: Convert to fraction form
    5,198.72/7,795.71 = 3,361.64/x
  3. Step 3: Cross multiply
    5,198.72x = 7,795.71 × 3,361.64
  4. Step 4: Simplify right side
    5,198.72x = 26,206,331.59
  5. Step 5: Solve for x
    x = 26,206,331.59/5,198.72
  6. Step 6: Final answer
    x = 5,040.92

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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.