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Finding the Fourth Proportional to 4,906.57, 6,770.82 and 2,889.92

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Solution

The fourth proportional to 4,906.57, 6,770.82 and 2,889.92 is: 3,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.57 : 6,770.82 = 2,889.92 : x
  2. Step 2: Convert to fraction form
    4,906.57/6,770.82 = 2,889.92/x
  3. Step 3: Cross multiply
    4,906.57x = 6,770.82 × 2,889.92
  4. Step 4: Simplify right side
    4,906.57x = 19,567,083.91
  5. Step 5: Solve for x
    x = 19,567,083.91/4,906.57
  6. Step 6: Final answer
    x = 3,987.94

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1.5x scale

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.