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Finding the Fourth Proportional to 3,782.99, 5,220.46 and 2,104.19

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Solution

The fourth proportional to 3,782.99, 5,220.46 and 2,104.19 is: 2,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.99 : 5,220.46 = 2,104.19 : x
  2. Step 2: Convert to fraction form
    3,782.99/5,220.46 = 2,104.19/x
  3. Step 3: Cross multiply
    3,782.99x = 5,220.46 × 2,104.19
  4. Step 4: Simplify right side
    3,782.99x = 10,984,839.73
  5. Step 5: Solve for x
    x = 10,984,839.73/3,782.99
  6. Step 6: Final answer
    x = 2,903.75

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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.