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Finding the Fourth Proportional to 3,974.94, 5,963.37 and 1,509.90

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Solution

The fourth proportional to 3,974.94, 5,963.37 and 1,509.90 is: 2,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.94 : 5,963.37 = 1,509.90 : x
  2. Step 2: Convert to fraction form
    3,974.94/5,963.37 = 1,509.90/x
  3. Step 3: Cross multiply
    3,974.94x = 5,963.37 × 1,509.90
  4. Step 4: Simplify right side
    3,974.94x = 9,004,092.36
  5. Step 5: Solve for x
    x = 9,004,092.36/3,974.94
  6. Step 6: Final answer
    x = 2,265.21

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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.