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Finding the Fourth Proportional to 5,127.94, 7,692 and 2,206.30

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Solution

The fourth proportional to 5,127.94, 7,692 and 2,206.30 is: 3,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.94 : 7,692 = 2,206.30 : x
  2. Step 2: Convert to fraction form
    5,127.94/7,692 = 2,206.30/x
  3. Step 3: Cross multiply
    5,127.94x = 7,692 × 2,206.30
  4. Step 4: Simplify right side
    5,127.94x = 16,970,859.60
  5. Step 5: Solve for x
    x = 16,970,859.60/5,127.94
  6. Step 6: Final answer
    x = 3,309.49

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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.