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Finding the Fourth Proportional to 3,767.82, 5,199.58 and 2,111.82

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Solution

The fourth proportional to 3,767.82, 5,199.58 and 2,111.82 is: 2,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.82 : 5,199.58 = 2,111.82 : x
  2. Step 2: Convert to fraction form
    3,767.82/5,199.58 = 2,111.82/x
  3. Step 3: Cross multiply
    3,767.82x = 5,199.58 × 2,111.82
  4. Step 4: Simplify right side
    3,767.82x = 10,980,577.04
  5. Step 5: Solve for x
    x = 10,980,577.04/3,767.82
  6. Step 6: Final answer
    x = 2,914.31

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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.