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Finding the Fourth Proportional to 6,675.40, 9,211.24 and 3,690.82

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Solution

The fourth proportional to 6,675.40, 9,211.24 and 3,690.82 is: 5,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.40 : 9,211.24 = 3,690.82 : x
  2. Step 2: Convert to fraction form
    6,675.40/9,211.24 = 3,690.82/x
  3. Step 3: Cross multiply
    6,675.40x = 9,211.24 × 3,690.82
  4. Step 4: Simplify right side
    6,675.40x = 33,997,028.82
  5. Step 5: Solve for x
    x = 33,997,028.82/6,675.40
  6. Step 6: Final answer
    x = 5,092.88

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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.