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Finding the Fourth Proportional to 5,202.90, 7,784.67 and 3,194.43

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Solution

The fourth proportional to 5,202.90, 7,784.67 and 3,194.43 is: 4,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.90 : 7,784.67 = 3,194.43 : x
  2. Step 2: Convert to fraction form
    5,202.90/7,784.67 = 3,194.43/x
  3. Step 3: Cross multiply
    5,202.90x = 7,784.67 × 3,194.43
  4. Step 4: Simplify right side
    5,202.90x = 24,867,583.39
  5. Step 5: Solve for x
    x = 24,867,583.39/5,202.90
  6. Step 6: Final answer
    x = 4,779.56

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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.