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Finding the Fourth Proportional to 3,698.53, 5,103.91 and 2,019.94

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Solution

The fourth proportional to 3,698.53, 5,103.91 and 2,019.94 is: 2,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.53 : 5,103.91 = 2,019.94 : x
  2. Step 2: Convert to fraction form
    3,698.53/5,103.91 = 2,019.94/x
  3. Step 3: Cross multiply
    3,698.53x = 5,103.91 × 2,019.94
  4. Step 4: Simplify right side
    3,698.53x = 10,309,591.97
  5. Step 5: Solve for x
    x = 10,309,591.97/3,698.53
  6. Step 6: Final answer
    x = 2,787.48

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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.