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Finding the Fourth Proportional to 5,052.69, 6,973.38 and 3,063.24

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Solution

The fourth proportional to 5,052.69, 6,973.38 and 3,063.24 is: 4,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.69 : 6,973.38 = 3,063.24 : x
  2. Step 2: Convert to fraction form
    5,052.69/6,973.38 = 3,063.24/x
  3. Step 3: Cross multiply
    5,052.69x = 6,973.38 × 3,063.24
  4. Step 4: Simplify right side
    5,052.69x = 21,361,136.55
  5. Step 5: Solve for x
    x = 21,361,136.55/5,052.69
  6. Step 6: Final answer
    x = 4,227.68

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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.