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Finding the Fourth Proportional to 3,977.07, 5,963.24 and 1,512.08

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Solution

The fourth proportional to 3,977.07, 5,963.24 and 1,512.08 is: 2,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.07 : 5,963.24 = 1,512.08 : x
  2. Step 2: Convert to fraction form
    3,977.07/5,963.24 = 1,512.08/x
  3. Step 3: Cross multiply
    3,977.07x = 5,963.24 × 1,512.08
  4. Step 4: Simplify right side
    3,977.07x = 9,016,858.56
  5. Step 5: Solve for x
    x = 9,016,858.56/3,977.07
  6. Step 6: Final answer
    x = 2,267.21

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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.