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Finding the Fourth Proportional to 3,404.12, 5,102.55 and 1,940.12

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Solution

The fourth proportional to 3,404.12, 5,102.55 and 1,940.12 is: 2,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.12 : 5,102.55 = 1,940.12 : x
  2. Step 2: Convert to fraction form
    3,404.12/5,102.55 = 1,940.12/x
  3. Step 3: Cross multiply
    3,404.12x = 5,102.55 × 1,940.12
  4. Step 4: Simplify right side
    3,404.12x = 9,899,536.85
  5. Step 5: Solve for x
    x = 9,899,536.85/3,404.12
  6. Step 6: Final answer
    x = 2,908.11

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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.