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Finding the Fourth Proportional to 3,441.54, 5,162.20 and 1,101.52

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Solution

The fourth proportional to 3,441.54, 5,162.20 and 1,101.52 is: 1,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.54 : 5,162.20 = 1,101.52 : x
  2. Step 2: Convert to fraction form
    3,441.54/5,162.20 = 1,101.52/x
  3. Step 3: Cross multiply
    3,441.54x = 5,162.20 × 1,101.52
  4. Step 4: Simplify right side
    3,441.54x = 5,686,241.21
  5. Step 5: Solve for x
    x = 5,686,241.21/3,441.54
  6. Step 6: Final answer
    x = 1,652.24

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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.