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Finding the Fourth Proportional to 3,634.74, 5,015.70 and 2,019.56

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Solution

The fourth proportional to 3,634.74, 5,015.70 and 2,019.56 is: 2,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.74 : 5,015.70 = 2,019.56 : x
  2. Step 2: Convert to fraction form
    3,634.74/5,015.70 = 2,019.56/x
  3. Step 3: Cross multiply
    3,634.74x = 5,015.70 × 2,019.56
  4. Step 4: Simplify right side
    3,634.74x = 10,129,507.09
  5. Step 5: Solve for x
    x = 10,129,507.09/3,634.74
  6. Step 6: Final answer
    x = 2,786.86

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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.