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Finding the Fourth Proportional to 6,286.16, 8,675.97 and 3,635.18

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Solution

The fourth proportional to 6,286.16, 8,675.97 and 3,635.18 is: 5,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.16 : 8,675.97 = 3,635.18 : x
  2. Step 2: Convert to fraction form
    6,286.16/8,675.97 = 3,635.18/x
  3. Step 3: Cross multiply
    6,286.16x = 8,675.97 × 3,635.18
  4. Step 4: Simplify right side
    6,286.16x = 31,538,712.62
  5. Step 5: Solve for x
    x = 31,538,712.62/6,286.16
  6. Step 6: Final answer
    x = 5,017.17

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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.