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Finding the Fourth Proportional to 3,383.44, 5,074.34 and 1,162.01

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Solution

The fourth proportional to 3,383.44, 5,074.34 and 1,162.01 is: 1,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.44 : 5,074.34 = 1,162.01 : x
  2. Step 2: Convert to fraction form
    3,383.44/5,074.34 = 1,162.01/x
  3. Step 3: Cross multiply
    3,383.44x = 5,074.34 × 1,162.01
  4. Step 4: Simplify right side
    3,383.44x = 5,896,433.82
  5. Step 5: Solve for x
    x = 5,896,433.82/3,383.44
  6. Step 6: Final answer
    x = 1,742.74

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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.