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Finding the Fourth Proportional to 4,893.92, 7,322.48 and 2,912.26

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Solution

The fourth proportional to 4,893.92, 7,322.48 and 2,912.26 is: 4,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.92 : 7,322.48 = 2,912.26 : x
  2. Step 2: Convert to fraction form
    4,893.92/7,322.48 = 2,912.26/x
  3. Step 3: Cross multiply
    4,893.92x = 7,322.48 × 2,912.26
  4. Step 4: Simplify right side
    4,893.92x = 21,324,965.60
  5. Step 5: Solve for x
    x = 21,324,965.60/4,893.92
  6. Step 6: Final answer
    x = 4,357.44

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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.