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Finding the Fourth Proportional to 4,239.36, 5,847.36 and 4,096.64

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Solution

The fourth proportional to 4,239.36, 5,847.36 and 4,096.64 is: 5,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.36 : 5,847.36 = 4,096.64 : x
  2. Step 2: Convert to fraction form
    4,239.36/5,847.36 = 4,096.64/x
  3. Step 3: Cross multiply
    4,239.36x = 5,847.36 × 4,096.64
  4. Step 4: Simplify right side
    4,239.36x = 23,954,528.87
  5. Step 5: Solve for x
    x = 23,954,528.87/4,239.36
  6. Step 6: Final answer
    x = 5,650.51

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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.