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Finding the Fourth Proportional to 4,235.22, 5,845.77 and 2,912.22

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Solution

The fourth proportional to 4,235.22, 5,845.77 and 2,912.22 is: 4,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.22 : 5,845.77 = 2,912.22 : x
  2. Step 2: Convert to fraction form
    4,235.22/5,845.77 = 2,912.22/x
  3. Step 3: Cross multiply
    4,235.22x = 5,845.77 × 2,912.22
  4. Step 4: Simplify right side
    4,235.22x = 17,024,168.31
  5. Step 5: Solve for x
    x = 17,024,168.31/4,235.22
  6. Step 6: Final answer
    x = 4,019.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.