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Finding the Fourth Proportional to 6,196.27, 8,551.53 and 3,679

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Solution

The fourth proportional to 6,196.27, 8,551.53 and 3,679 is: 5,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.27 : 8,551.53 = 3,679 : x
  2. Step 2: Convert to fraction form
    6,196.27/8,551.53 = 3,679/x
  3. Step 3: Cross multiply
    6,196.27x = 8,551.53 × 3,679
  4. Step 4: Simplify right side
    6,196.27x = 31,461,078.87
  5. Step 5: Solve for x
    x = 31,461,078.87/6,196.27
  6. Step 6: Final answer
    x = 5,077.42

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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.