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Finding the Fourth Proportional to 6,196.15, 8,546.79 and 3,676.47

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Solution

The fourth proportional to 6,196.15, 8,546.79 and 3,676.47 is: 5,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.15 : 8,546.79 = 3,676.47 : x
  2. Step 2: Convert to fraction form
    6,196.15/8,546.79 = 3,676.47/x
  3. Step 3: Cross multiply
    6,196.15x = 8,546.79 × 3,676.47
  4. Step 4: Simplify right side
    6,196.15x = 31,422,070.88
  5. Step 5: Solve for x
    x = 31,422,070.88/6,196.15
  6. Step 6: Final answer
    x = 5,071.23

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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.