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Finding the Fourth Proportional to 3,697.81, 5,103.04 and 2,019.22

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Solution

The fourth proportional to 3,697.81, 5,103.04 and 2,019.22 is: 2,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.81 : 5,103.04 = 2,019.22 : x
  2. Step 2: Convert to fraction form
    3,697.81/5,103.04 = 2,019.22/x
  3. Step 3: Cross multiply
    3,697.81x = 5,103.04 × 2,019.22
  4. Step 4: Simplify right side
    3,697.81x = 10,304,160.43
  5. Step 5: Solve for x
    x = 10,304,160.43/3,697.81
  6. Step 6: Final answer
    x = 2,786.56

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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.