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Finding the Fourth Proportional to 4,196.82, 6,258.56 and 3,679.22

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Solution

The fourth proportional to 4,196.82, 6,258.56 and 3,679.22 is: 5,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.82 : 6,258.56 = 3,679.22 : x
  2. Step 2: Convert to fraction form
    4,196.82/6,258.56 = 3,679.22/x
  3. Step 3: Cross multiply
    4,196.82x = 6,258.56 × 3,679.22
  4. Step 4: Simplify right side
    4,196.82x = 23,026,619.12
  5. Step 5: Solve for x
    x = 23,026,619.12/4,196.82
  6. Step 6: Final answer
    x = 5,486.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.