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Finding the Fourth Proportional to 3,874.56, 5,811.89 and 1,101.30

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Solution

The fourth proportional to 3,874.56, 5,811.89 and 1,101.30 is: 1,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.56 : 5,811.89 = 1,101.30 : x
  2. Step 2: Convert to fraction form
    3,874.56/5,811.89 = 1,101.30/x
  3. Step 3: Cross multiply
    3,874.56x = 5,811.89 × 1,101.30
  4. Step 4: Simplify right side
    3,874.56x = 6,400,628.95
  5. Step 5: Solve for x
    x = 6,400,628.95/3,874.56
  6. Step 6: Final answer
    x = 1,651.96

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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.