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Finding the Fourth Proportional to 3,959.39, 5,464.67 and 2,544.84

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Solution

The fourth proportional to 3,959.39, 5,464.67 and 2,544.84 is: 3,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.39 : 5,464.67 = 2,544.84 : x
  2. Step 2: Convert to fraction form
    3,959.39/5,464.67 = 2,544.84/x
  3. Step 3: Cross multiply
    3,959.39x = 5,464.67 × 2,544.84
  4. Step 4: Simplify right side
    3,959.39x = 13,906,698.08
  5. Step 5: Solve for x
    x = 13,906,698.08/3,959.39
  6. Step 6: Final answer
    x = 3,512.33

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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.