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Finding the Fourth Proportional to 4,893.93, 7,322.49 and 2,912.25

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Solution

The fourth proportional to 4,893.93, 7,322.49 and 2,912.25 is: 4,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.93 : 7,322.49 = 2,912.25 : x
  2. Step 2: Convert to fraction form
    4,893.93/7,322.49 = 2,912.25/x
  3. Step 3: Cross multiply
    4,893.93x = 7,322.49 × 2,912.25
  4. Step 4: Simplify right side
    4,893.93x = 21,324,921.50
  5. Step 5: Solve for x
    x = 21,324,921.50/4,893.93
  6. Step 6: Final answer
    x = 4,357.42

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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.