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Finding the Fourth Proportional to 3,401.96, 5,094.84 and 2,099.48

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Solution

The fourth proportional to 3,401.96, 5,094.84 and 2,099.48 is: 3,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.96 : 5,094.84 = 2,099.48 : x
  2. Step 2: Convert to fraction form
    3,401.96/5,094.84 = 2,099.48/x
  3. Step 3: Cross multiply
    3,401.96x = 5,094.84 × 2,099.48
  4. Step 4: Simplify right side
    3,401.96x = 10,696,514.68
  5. Step 5: Solve for x
    x = 10,696,514.68/3,401.96
  6. Step 6: Final answer
    x = 3,144.22

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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.