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Finding the Fourth Proportional to 5,203.16, 7,786.20 and 4,169.80

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Solution

The fourth proportional to 5,203.16, 7,786.20 and 4,169.80 is: 6,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.16 : 7,786.20 = 4,169.80 : x
  2. Step 2: Convert to fraction form
    5,203.16/7,786.20 = 4,169.80/x
  3. Step 3: Cross multiply
    5,203.16x = 7,786.20 × 4,169.80
  4. Step 4: Simplify right side
    5,203.16x = 32,466,896.76
  5. Step 5: Solve for x
    x = 32,466,896.76/5,203.16
  6. Step 6: Final answer
    x = 6,239.84

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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.