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Finding the Fourth Proportional to 3,638.00, 5,020.52 and 2,842.25

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Solution

The fourth proportional to 3,638.00, 5,020.52 and 2,842.25 is: 3,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.00 : 5,020.52 = 2,842.25 : x
  2. Step 2: Convert to fraction form
    3,638.00/5,020.52 = 2,842.25/x
  3. Step 3: Cross multiply
    3,638.00x = 5,020.52 × 2,842.25
  4. Step 4: Simplify right side
    3,638.00x = 14,269,571.31
  5. Step 5: Solve for x
    x = 14,269,571.31/3,638.00
  6. Step 6: Final answer
    x = 3,922.36

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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.