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Finding the Fourth Proportional to 3,974.88, 5,480.66 and 3,226.48

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Solution

The fourth proportional to 3,974.88, 5,480.66 and 3,226.48 is: 4,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.88 : 5,480.66 = 3,226.48 : x
  2. Step 2: Convert to fraction form
    3,974.88/5,480.66 = 3,226.48/x
  3. Step 3: Cross multiply
    3,974.88x = 5,480.66 × 3,226.48
  4. Step 4: Simplify right side
    3,974.88x = 17,683,239.88
  5. Step 5: Solve for x
    x = 17,683,239.88/3,974.88
  6. Step 6: Final answer
    x = 4,448.75

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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.