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Finding the Fourth Proportional to 6,504.14, 8,975.72 and 3,519.97

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Solution

The fourth proportional to 6,504.14, 8,975.72 and 3,519.97 is: 4,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.14 : 8,975.72 = 3,519.97 : x
  2. Step 2: Convert to fraction form
    6,504.14/8,975.72 = 3,519.97/x
  3. Step 3: Cross multiply
    6,504.14x = 8,975.72 × 3,519.97
  4. Step 4: Simplify right side
    6,504.14x = 31,594,202.65
  5. Step 5: Solve for x
    x = 31,594,202.65/6,504.14
  6. Step 6: Final answer
    x = 4,857.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.