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Finding the Fourth Proportional to 5,735.34, 8,604.23 and 1,842.48

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Solution

The fourth proportional to 5,735.34, 8,604.23 and 1,842.48 is: 2,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.34 : 8,604.23 = 1,842.48 : x
  2. Step 2: Convert to fraction form
    5,735.34/8,604.23 = 1,842.48/x
  3. Step 3: Cross multiply
    5,735.34x = 8,604.23 × 1,842.48
  4. Step 4: Simplify right side
    5,735.34x = 15,853,121.69
  5. Step 5: Solve for x
    x = 15,853,121.69/5,735.34
  6. Step 6: Final answer
    x = 2,764.11

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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.