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Finding the Fourth Proportional to 4,516.36, 6,771.90 and 3,969.64

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Solution

The fourth proportional to 4,516.36, 6,771.90 and 3,969.64 is: 5,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.36 : 6,771.90 = 3,969.64 : x
  2. Step 2: Convert to fraction form
    4,516.36/6,771.90 = 3,969.64/x
  3. Step 3: Cross multiply
    4,516.36x = 6,771.90 × 3,969.64
  4. Step 4: Simplify right side
    4,516.36x = 26,882,005.12
  5. Step 5: Solve for x
    x = 26,882,005.12/4,516.36
  6. Step 6: Final answer
    x = 5,952.14

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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.