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Finding the Fourth Proportional to 3,812.82, 5,261.41 and 2,133.84

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Solution

The fourth proportional to 3,812.82, 5,261.41 and 2,133.84 is: 2,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.82 : 5,261.41 = 2,133.84 : x
  2. Step 2: Convert to fraction form
    3,812.82/5,261.41 = 2,133.84/x
  3. Step 3: Cross multiply
    3,812.82x = 5,261.41 × 2,133.84
  4. Step 4: Simplify right side
    3,812.82x = 11,227,017.51
  5. Step 5: Solve for x
    x = 11,227,017.51/3,812.82
  6. Step 6: Final answer
    x = 2,944.54

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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.