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Finding the Fourth Proportional to 4,893.88, 6,754.66 and 3,829.54

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Solution

The fourth proportional to 4,893.88, 6,754.66 and 3,829.54 is: 5,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.88 : 6,754.66 = 3,829.54 : x
  2. Step 2: Convert to fraction form
    4,893.88/6,754.66 = 3,829.54/x
  3. Step 3: Cross multiply
    4,893.88x = 6,754.66 × 3,829.54
  4. Step 4: Simplify right side
    4,893.88x = 25,867,240.66
  5. Step 5: Solve for x
    x = 25,867,240.66/4,893.88
  6. Step 6: Final answer
    x = 5,285.63

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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.