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Finding the Fourth Proportional to 6,286.95, 8,675.28 and 3,635.19

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Solution

The fourth proportional to 6,286.95, 8,675.28 and 3,635.19 is: 5,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.95 : 8,675.28 = 3,635.19 : x
  2. Step 2: Convert to fraction form
    6,286.95/8,675.28 = 3,635.19/x
  3. Step 3: Cross multiply
    6,286.95x = 8,675.28 × 3,635.19
  4. Step 4: Simplify right side
    6,286.95x = 31,536,291.10
  5. Step 5: Solve for x
    x = 31,536,291.10/6,286.95
  6. Step 6: Final answer
    x = 5,016.15

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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.