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Finding the Fourth Proportional to 3,781.98, 5,219.08 and 2,103.38

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Solution

The fourth proportional to 3,781.98, 5,219.08 and 2,103.38 is: 2,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.98 : 5,219.08 = 2,103.38 : x
  2. Step 2: Convert to fraction form
    3,781.98/5,219.08 = 2,103.38/x
  3. Step 3: Cross multiply
    3,781.98x = 5,219.08 × 2,103.38
  4. Step 4: Simplify right side
    3,781.98x = 10,977,708.49
  5. Step 5: Solve for x
    x = 10,977,708.49/3,781.98
  6. Step 6: Final answer
    x = 2,902.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.