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Finding the Fourth Proportional to 3,959.28, 5,941.22 and 1,493.64

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Solution

The fourth proportional to 3,959.28, 5,941.22 and 1,493.64 is: 2,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.28 : 5,941.22 = 1,493.64 : x
  2. Step 2: Convert to fraction form
    3,959.28/5,941.22 = 1,493.64/x
  3. Step 3: Cross multiply
    3,959.28x = 5,941.22 × 1,493.64
  4. Step 4: Simplify right side
    3,959.28x = 8,874,036.37
  5. Step 5: Solve for x
    x = 8,874,036.37/3,959.28
  6. Step 6: Final answer
    x = 2,241.33

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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.