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Finding the Fourth Proportional to 4,889.21, 6,747.38 and 2,764.82

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Solution

The fourth proportional to 4,889.21, 6,747.38 and 2,764.82 is: 3,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.21 : 6,747.38 = 2,764.82 : x
  2. Step 2: Convert to fraction form
    4,889.21/6,747.38 = 2,764.82/x
  3. Step 3: Cross multiply
    4,889.21x = 6,747.38 × 2,764.82
  4. Step 4: Simplify right side
    4,889.21x = 18,655,243.61
  5. Step 5: Solve for x
    x = 18,655,243.61/4,889.21
  6. Step 6: Final answer
    x = 3,815.60

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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.