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Finding the Fourth Proportional to 3,401.22, 5,101.90 and 936.02

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Solution

The fourth proportional to 3,401.22, 5,101.90 and 936.02 is: 1,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.22 : 5,101.90 = 936.02 : x
  2. Step 2: Convert to fraction form
    3,401.22/5,101.90 = 936.02/x
  3. Step 3: Cross multiply
    3,401.22x = 5,101.90 × 936.02
  4. Step 4: Simplify right side
    3,401.22x = 4,775,480.44
  5. Step 5: Solve for x
    x = 4,775,480.44/3,401.22
  6. Step 6: Final answer
    x = 1,404.05

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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.