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Finding the Fourth Proportional to 5,313.78, 7,969.30 and 2,194.67

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Solution

The fourth proportional to 5,313.78, 7,969.30 and 2,194.67 is: 3,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.78 : 7,969.30 = 2,194.67 : x
  2. Step 2: Convert to fraction form
    5,313.78/7,969.30 = 2,194.67/x
  3. Step 3: Cross multiply
    5,313.78x = 7,969.30 × 2,194.67
  4. Step 4: Simplify right side
    5,313.78x = 17,489,998.07
  5. Step 5: Solve for x
    x = 17,489,998.07/5,313.78
  6. Step 6: Final answer
    x = 3,291.44

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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.