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Finding the Fourth Proportional to 4,447.80, 6,136.86 and 2,874

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Solution

The fourth proportional to 4,447.80, 6,136.86 and 2,874 is: 3,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.80 : 6,136.86 = 2,874 : x
  2. Step 2: Convert to fraction form
    4,447.80/6,136.86 = 2,874/x
  3. Step 3: Cross multiply
    4,447.80x = 6,136.86 × 2,874
  4. Step 4: Simplify right side
    4,447.80x = 17,637,335.64
  5. Step 5: Solve for x
    x = 17,637,335.64/4,447.80
  6. Step 6: Final answer
    x = 3,965.41

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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.