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Finding the Fourth Proportional to 6,096.36, 8,415.90 and 3,859.32

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Solution

The fourth proportional to 6,096.36, 8,415.90 and 3,859.32 is: 5,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.36 : 8,415.90 = 3,859.32 : x
  2. Step 2: Convert to fraction form
    6,096.36/8,415.90 = 3,859.32/x
  3. Step 3: Cross multiply
    6,096.36x = 8,415.90 × 3,859.32
  4. Step 4: Simplify right side
    6,096.36x = 32,479,651.19
  5. Step 5: Solve for x
    x = 32,479,651.19/6,096.36
  6. Step 6: Final answer
    x = 5,327.71

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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.