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Finding the Fourth Proportional to 4,473.69, 6,713.26 and 2,827.97

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Solution

The fourth proportional to 4,473.69, 6,713.26 and 2,827.97 is: 4,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.69 : 6,713.26 = 2,827.97 : x
  2. Step 2: Convert to fraction form
    4,473.69/6,713.26 = 2,827.97/x
  3. Step 3: Cross multiply
    4,473.69x = 6,713.26 × 2,827.97
  4. Step 4: Simplify right side
    4,473.69x = 18,984,857.25
  5. Step 5: Solve for x
    x = 18,984,857.25/4,473.69
  6. Step 6: Final answer
    x = 4,243.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.