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Finding the Fourth Proportional to 4,796.16, 7,182.63 and 3,968.34

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Solution

The fourth proportional to 4,796.16, 7,182.63 and 3,968.34 is: 5,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.16 : 7,182.63 = 3,968.34 : x
  2. Step 2: Convert to fraction form
    4,796.16/7,182.63 = 3,968.34/x
  3. Step 3: Cross multiply
    4,796.16x = 7,182.63 × 3,968.34
  4. Step 4: Simplify right side
    4,796.16x = 28,503,117.93
  5. Step 5: Solve for x
    x = 28,503,117.93/4,796.16
  6. Step 6: Final answer
    x = 5,942.90

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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.