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Finding the Fourth Proportional to 6,479.46, 8,938.58 and 3,825.09

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Solution

The fourth proportional to 6,479.46, 8,938.58 and 3,825.09 is: 5,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.46 : 8,938.58 = 3,825.09 : x
  2. Step 2: Convert to fraction form
    6,479.46/8,938.58 = 3,825.09/x
  3. Step 3: Cross multiply
    6,479.46x = 8,938.58 × 3,825.09
  4. Step 4: Simplify right side
    6,479.46x = 34,190,853.85
  5. Step 5: Solve for x
    x = 34,190,853.85/6,479.46
  6. Step 6: Final answer
    x = 5,276.81

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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.