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Finding the Fourth Proportional to 3,782.88, 5,208.27 and 3,285.33

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Solution

The fourth proportional to 3,782.88, 5,208.27 and 3,285.33 is: 4,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.88 : 5,208.27 = 3,285.33 : x
  2. Step 2: Convert to fraction form
    3,782.88/5,208.27 = 3,285.33/x
  3. Step 3: Cross multiply
    3,782.88x = 5,208.27 × 3,285.33
  4. Step 4: Simplify right side
    3,782.88x = 17,110,885.68
  5. Step 5: Solve for x
    x = 17,110,885.68/3,782.88
  6. Step 6: Final answer
    x = 4,523.24

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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.