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Finding the Fourth Proportional to 3,796.74, 5,239.62 and 2,118.06

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Solution

The fourth proportional to 3,796.74, 5,239.62 and 2,118.06 is: 2,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.74 : 5,239.62 = 2,118.06 : x
  2. Step 2: Convert to fraction form
    3,796.74/5,239.62 = 2,118.06/x
  3. Step 3: Cross multiply
    3,796.74x = 5,239.62 × 2,118.06
  4. Step 4: Simplify right side
    3,796.74x = 11,097,829.54
  5. Step 5: Solve for x
    x = 11,097,829.54/3,796.74
  6. Step 6: Final answer
    x = 2,922.99

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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.