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Finding the Fourth Proportional to 5,968.01, 8,236.01 and 3,415.64

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Solution

The fourth proportional to 5,968.01, 8,236.01 and 3,415.64 is: 4,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.01 : 8,236.01 = 3,415.64 : x
  2. Step 2: Convert to fraction form
    5,968.01/8,236.01 = 3,415.64/x
  3. Step 3: Cross multiply
    5,968.01x = 8,236.01 × 3,415.64
  4. Step 4: Simplify right side
    5,968.01x = 28,131,212.56
  5. Step 5: Solve for x
    x = 28,131,212.56/5,968.01
  6. Step 6: Final answer
    x = 4,713.67

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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.