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Finding the Fourth Proportional to 5,189.22, 7,783.68 and 1,293.54

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Solution

The fourth proportional to 5,189.22, 7,783.68 and 1,293.54 is: 1,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.22 : 7,783.68 = 1,293.54 : x
  2. Step 2: Convert to fraction form
    5,189.22/7,783.68 = 1,293.54/x
  3. Step 3: Cross multiply
    5,189.22x = 7,783.68 × 1,293.54
  4. Step 4: Simplify right side
    5,189.22x = 10,068,501.43
  5. Step 5: Solve for x
    x = 10,068,501.43/5,189.22
  6. Step 6: Final answer
    x = 1,940.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.