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Finding the Fourth Proportional to 6,078.42, 8,389.26 and 3,839.58

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Solution

The fourth proportional to 6,078.42, 8,389.26 and 3,839.58 is: 5,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.42 : 8,389.26 = 3,839.58 : x
  2. Step 2: Convert to fraction form
    6,078.42/8,389.26 = 3,839.58/x
  3. Step 3: Cross multiply
    6,078.42x = 8,389.26 × 3,839.58
  4. Step 4: Simplify right side
    6,078.42x = 32,211,234.91
  5. Step 5: Solve for x
    x = 32,211,234.91/6,078.42
  6. Step 6: Final answer
    x = 5,299.28

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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.