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Finding the Fourth Proportional to 3,698.06, 5,103.28 and 2,019.54

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Solution

The fourth proportional to 3,698.06, 5,103.28 and 2,019.54 is: 2,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.06 : 5,103.28 = 2,019.54 : x
  2. Step 2: Convert to fraction form
    3,698.06/5,103.28 = 2,019.54/x
  3. Step 3: Cross multiply
    3,698.06x = 5,103.28 × 2,019.54
  4. Step 4: Simplify right side
    3,698.06x = 10,306,251.01
  5. Step 5: Solve for x
    x = 10,306,251.01/3,698.06
  6. Step 6: Final answer
    x = 2,786.94

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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.