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Finding the Fourth Proportional to 3,441.76, 5,163.02 and 1,101.22

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Solution

The fourth proportional to 3,441.76, 5,163.02 and 1,101.22 is: 1,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.76 : 5,163.02 = 1,101.22 : x
  2. Step 2: Convert to fraction form
    3,441.76/5,163.02 = 1,101.22/x
  3. Step 3: Cross multiply
    3,441.76x = 5,163.02 × 1,101.22
  4. Step 4: Simplify right side
    3,441.76x = 5,685,612.79
  5. Step 5: Solve for x
    x = 5,685,612.79/3,441.76
  6. Step 6: Final answer
    x = 1,651.95

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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.