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Finding the Fourth Proportional to 6,196.98, 8,551.87 and 3,679.20

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Solution

The fourth proportional to 6,196.98, 8,551.87 and 3,679.20 is: 5,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.98 : 8,551.87 = 3,679.20 : x
  2. Step 2: Convert to fraction form
    6,196.98/8,551.87 = 3,679.20/x
  3. Step 3: Cross multiply
    6,196.98x = 8,551.87 × 3,679.20
  4. Step 4: Simplify right side
    6,196.98x = 31,464,030.91
  5. Step 5: Solve for x
    x = 31,464,030.91/6,196.98
  6. Step 6: Final answer
    x = 5,077.32

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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.