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Finding the Fourth Proportional to 3,619, 4,994.22 and 1,963

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Solution

The fourth proportional to 3,619, 4,994.22 and 1,963 is: 2,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619 : 4,994.22 = 1,963 : x
  2. Step 2: Convert to fraction form
    3,619/4,994.22 = 1,963/x
  3. Step 3: Cross multiply
    3,619x = 4,994.22 × 1,963
  4. Step 4: Simplify right side
    3,619x = 9,803,653.86
  5. Step 5: Solve for x
    x = 9,803,653.86/3,619
  6. Step 6: Final answer
    x = 2,708.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.