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Finding the Fourth Proportional to 6,444, 8,891.37 and 3,791.70

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Solution

The fourth proportional to 6,444, 8,891.37 and 3,791.70 is: 5,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 8,891.37 = 3,791.70 : x
  2. Step 2: Convert to fraction form
    6,444/8,891.37 = 3,791.70/x
  3. Step 3: Cross multiply
    6,444x = 8,891.37 × 3,791.70
  4. Step 4: Simplify right side
    6,444x = 33,713,407.63
  5. Step 5: Solve for x
    x = 33,713,407.63/6,444
  6. Step 6: Final answer
    x = 5,231.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.