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Finding the Fourth Proportional to 5,969.34, 8,953.74 and 2,273.31

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Solution

The fourth proportional to 5,969.34, 8,953.74 and 2,273.31 is: 3,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.34 : 8,953.74 = 2,273.31 : x
  2. Step 2: Convert to fraction form
    5,969.34/8,953.74 = 2,273.31/x
  3. Step 3: Cross multiply
    5,969.34x = 8,953.74 × 2,273.31
  4. Step 4: Simplify right side
    5,969.34x = 20,354,626.68
  5. Step 5: Solve for x
    x = 20,354,626.68/5,969.34
  6. Step 6: Final answer
    x = 3,409.86

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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.