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Finding the Fourth Proportional to 5,678.50, 7,836.33 and 3,194.50

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Solution

The fourth proportional to 5,678.50, 7,836.33 and 3,194.50 is: 4,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.50 : 7,836.33 = 3,194.50 : x
  2. Step 2: Convert to fraction form
    5,678.50/7,836.33 = 3,194.50/x
  3. Step 3: Cross multiply
    5,678.50x = 7,836.33 × 3,194.50
  4. Step 4: Simplify right side
    5,678.50x = 25,033,156.19
  5. Step 5: Solve for x
    x = 25,033,156.19/5,678.50
  6. Step 6: Final answer
    x = 4,408.41

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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.