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Finding the Fourth Proportional to 3,976.74, 5,963.08 and 1,509.68

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Solution

The fourth proportional to 3,976.74, 5,963.08 and 1,509.68 is: 2,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.74 : 5,963.08 = 1,509.68 : x
  2. Step 2: Convert to fraction form
    3,976.74/5,963.08 = 1,509.68/x
  3. Step 3: Cross multiply
    3,976.74x = 5,963.08 × 1,509.68
  4. Step 4: Simplify right side
    3,976.74x = 9,002,335.07
  5. Step 5: Solve for x
    x = 9,002,335.07/3,976.74
  6. Step 6: Final answer
    x = 2,263.75

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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.