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Finding the Fourth Proportional to 3,781.94, 5,219.09 and 2,289.48

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Solution

The fourth proportional to 3,781.94, 5,219.09 and 2,289.48 is: 3,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.94 : 5,219.09 = 2,289.48 : x
  2. Step 2: Convert to fraction form
    3,781.94/5,219.09 = 2,289.48/x
  3. Step 3: Cross multiply
    3,781.94x = 5,219.09 × 2,289.48
  4. Step 4: Simplify right side
    3,781.94x = 11,948,990.73
  5. Step 5: Solve for x
    x = 11,948,990.73/3,781.94
  6. Step 6: Final answer
    x = 3,159.49

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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.