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Finding the Fourth Proportional to 6,286.82, 8,674.85 and 3,597.60

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Solution

The fourth proportional to 6,286.82, 8,674.85 and 3,597.60 is: 4,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.82 : 8,674.85 = 3,597.60 : x
  2. Step 2: Convert to fraction form
    6,286.82/8,674.85 = 3,597.60/x
  3. Step 3: Cross multiply
    6,286.82x = 8,674.85 × 3,597.60
  4. Step 4: Simplify right side
    6,286.82x = 31,208,681.88
  5. Step 5: Solve for x
    x = 31,208,681.88/6,286.82
  6. Step 6: Final answer
    x = 4,964.15

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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.