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Finding the Fourth Proportional to 6,286.08, 8,674.80 and 3,491.64

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Solution

The fourth proportional to 6,286.08, 8,674.80 and 3,491.64 is: 4,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.08 : 8,674.80 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    6,286.08/8,674.80 = 3,491.64/x
  3. Step 3: Cross multiply
    6,286.08x = 8,674.80 × 3,491.64
  4. Step 4: Simplify right side
    6,286.08x = 30,289,278.67
  5. Step 5: Solve for x
    x = 30,289,278.67/6,286.08
  6. Step 6: Final answer
    x = 4,818.47

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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.