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Finding the Fourth Proportional to 3,782.25, 5,220.33 and 2,104.23

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Solution

The fourth proportional to 3,782.25, 5,220.33 and 2,104.23 is: 2,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.25 : 5,220.33 = 2,104.23 : x
  2. Step 2: Convert to fraction form
    3,782.25/5,220.33 = 2,104.23/x
  3. Step 3: Cross multiply
    3,782.25x = 5,220.33 × 2,104.23
  4. Step 4: Simplify right side
    3,782.25x = 10,984,775.00
  5. Step 5: Solve for x
    x = 10,984,775.00/3,782.25
  6. Step 6: Final answer
    x = 2,904.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.