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Finding the Fourth Proportional to 3,492.28, 5,238.42 and 1,027.05

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Solution

The fourth proportional to 3,492.28, 5,238.42 and 1,027.05 is: 1,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.28 : 5,238.42 = 1,027.05 : x
  2. Step 2: Convert to fraction form
    3,492.28/5,238.42 = 1,027.05/x
  3. Step 3: Cross multiply
    3,492.28x = 5,238.42 × 1,027.05
  4. Step 4: Simplify right side
    3,492.28x = 5,380,101.54
  5. Step 5: Solve for x
    x = 5,380,101.54/3,492.28
  6. Step 6: Final answer
    x = 1,540.57

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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.