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Finding the Fourth Proportional to 3,401.80, 5,102.56 and 936.44

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Solution

The fourth proportional to 3,401.80, 5,102.56 and 936.44 is: 1,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.80 : 5,102.56 = 936.44 : x
  2. Step 2: Convert to fraction form
    3,401.80/5,102.56 = 936.44/x
  3. Step 3: Cross multiply
    3,401.80x = 5,102.56 × 936.44
  4. Step 4: Simplify right side
    3,401.80x = 4,778,241.29
  5. Step 5: Solve for x
    x = 4,778,241.29/3,401.80
  6. Step 6: Final answer
    x = 1,404.62

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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.