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Finding the Fourth Proportional to 3,963.81, 5,949.41 and 2,017.47

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Solution

The fourth proportional to 3,963.81, 5,949.41 and 2,017.47 is: 3,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.81 : 5,949.41 = 2,017.47 : x
  2. Step 2: Convert to fraction form
    3,963.81/5,949.41 = 2,017.47/x
  3. Step 3: Cross multiply
    3,963.81x = 5,949.41 × 2,017.47
  4. Step 4: Simplify right side
    3,963.81x = 12,002,746.11
  5. Step 5: Solve for x
    x = 12,002,746.11/3,963.81
  6. Step 6: Final answer
    x = 3,028.08

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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.