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Finding the Fourth Proportional to 3,441.53, 5,163.14 and 1,101.54

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Solution

The fourth proportional to 3,441.53, 5,163.14 and 1,101.54 is: 1,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.53 : 5,163.14 = 1,101.54 : x
  2. Step 2: Convert to fraction form
    3,441.53/5,163.14 = 1,101.54/x
  3. Step 3: Cross multiply
    3,441.53x = 5,163.14 × 1,101.54
  4. Step 4: Simplify right side
    3,441.53x = 5,687,427.35
  5. Step 5: Solve for x
    x = 5,687,427.35/3,441.53
  6. Step 6: Final answer
    x = 1,652.59

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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.