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Finding the Fourth Proportional to 3,881.12, 5,822.03 and 1,107.74

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Solution

The fourth proportional to 3,881.12, 5,822.03 and 1,107.74 is: 1,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.12 : 5,822.03 = 1,107.74 : x
  2. Step 2: Convert to fraction form
    3,881.12/5,822.03 = 1,107.74/x
  3. Step 3: Cross multiply
    3,881.12x = 5,822.03 × 1,107.74
  4. Step 4: Simplify right side
    3,881.12x = 6,449,289.97
  5. Step 5: Solve for x
    x = 6,449,289.97/3,881.12
  6. Step 6: Final answer
    x = 1,661.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.