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Finding the Fourth Proportional to 6,137.36, 8,466.68 and 3,778.64

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Solution

The fourth proportional to 6,137.36, 8,466.68 and 3,778.64 is: 5,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.36 : 8,466.68 = 3,778.64 : x
  2. Step 2: Convert to fraction form
    6,137.36/8,466.68 = 3,778.64/x
  3. Step 3: Cross multiply
    6,137.36x = 8,466.68 × 3,778.64
  4. Step 4: Simplify right side
    6,137.36x = 31,992,535.72
  5. Step 5: Solve for x
    x = 31,992,535.72/6,137.36
  6. Step 6: Final answer
    x = 5,212.75

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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.