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Finding the Fourth Proportional to 4,199.88, 5,796.12 and 2,781.12

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Solution

The fourth proportional to 4,199.88, 5,796.12 and 2,781.12 is: 3,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.88 : 5,796.12 = 2,781.12 : x
  2. Step 2: Convert to fraction form
    4,199.88/5,796.12 = 2,781.12/x
  3. Step 3: Cross multiply
    4,199.88x = 5,796.12 × 2,781.12
  4. Step 4: Simplify right side
    4,199.88x = 16,119,705.25
  5. Step 5: Solve for x
    x = 16,119,705.25/4,199.88
  6. Step 6: Final answer
    x = 3,838.13

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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.