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Finding the Fourth Proportional to 5,181.22, 7,769.94 and 1,893.34

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Solution

The fourth proportional to 5,181.22, 7,769.94 and 1,893.34 is: 2,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.22 : 7,769.94 = 1,893.34 : x
  2. Step 2: Convert to fraction form
    5,181.22/7,769.94 = 1,893.34/x
  3. Step 3: Cross multiply
    5,181.22x = 7,769.94 × 1,893.34
  4. Step 4: Simplify right side
    5,181.22x = 14,711,138.20
  5. Step 5: Solve for x
    x = 14,711,138.20/5,181.22
  6. Step 6: Final answer
    x = 2,839.32

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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.