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Finding the Fourth Proportional to 3,963.94, 5,949.60 and 2,017.60

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Solution

The fourth proportional to 3,963.94, 5,949.60 and 2,017.60 is: 3,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.94 : 5,949.60 = 2,017.60 : x
  2. Step 2: Convert to fraction form
    3,963.94/5,949.60 = 2,017.60/x
  3. Step 3: Cross multiply
    3,963.94x = 5,949.60 × 2,017.60
  4. Step 4: Simplify right side
    3,963.94x = 12,003,873.12
  5. Step 5: Solve for x
    x = 12,003,873.12/3,963.94
  6. Step 6: Final answer
    x = 3,028.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.