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Finding the Fourth Proportional to 3,698.44, 5,103.63 and 2,019.51

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Solution

The fourth proportional to 3,698.44, 5,103.63 and 2,019.51 is: 2,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.44 : 5,103.63 = 2,019.51 : x
  2. Step 2: Convert to fraction form
    3,698.44/5,103.63 = 2,019.51/x
  3. Step 3: Cross multiply
    3,698.44x = 5,103.63 × 2,019.51
  4. Step 4: Simplify right side
    3,698.44x = 10,306,831.82
  5. Step 5: Solve for x
    x = 10,306,831.82/3,698.44
  6. Step 6: Final answer
    x = 2,786.81

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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.