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Finding the Fourth Proportional to 5,194.44, 7,786.80 and 2,274.48

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Solution

The fourth proportional to 5,194.44, 7,786.80 and 2,274.48 is: 3,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.44 : 7,786.80 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    5,194.44/7,786.80 = 2,274.48/x
  3. Step 3: Cross multiply
    5,194.44x = 7,786.80 × 2,274.48
  4. Step 4: Simplify right side
    5,194.44x = 17,710,920.86
  5. Step 5: Solve for x
    x = 17,710,920.86/5,194.44
  6. Step 6: Final answer
    x = 3,409.59

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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.