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Finding the Fourth Proportional to 3,781.98, 5,219.22 and 2,103.45

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Solution

The fourth proportional to 3,781.98, 5,219.22 and 2,103.45 is: 2,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.98 : 5,219.22 = 2,103.45 : x
  2. Step 2: Convert to fraction form
    3,781.98/5,219.22 = 2,103.45/x
  3. Step 3: Cross multiply
    3,781.98x = 5,219.22 × 2,103.45
  4. Step 4: Simplify right side
    3,781.98x = 10,978,368.31
  5. Step 5: Solve for x
    x = 10,978,368.31/3,781.98
  6. Step 6: Final answer
    x = 2,902.81

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