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Finding the Fourth Proportional to 3,402.28, 5,103.42 and 1,093.96

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Solution

The fourth proportional to 3,402.28, 5,103.42 and 1,093.96 is: 1,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.28 : 5,103.42 = 1,093.96 : x
  2. Step 2: Convert to fraction form
    3,402.28/5,103.42 = 1,093.96/x
  3. Step 3: Cross multiply
    3,402.28x = 5,103.42 × 1,093.96
  4. Step 4: Simplify right side
    3,402.28x = 5,582,937.34
  5. Step 5: Solve for x
    x = 5,582,937.34/3,402.28
  6. Step 6: Final answer
    x = 1,640.94

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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.