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Finding the Fourth Proportional to 3,927, 5,892.12 and 1,620.12

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Solution

The fourth proportional to 3,927, 5,892.12 and 1,620.12 is: 2,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 5,892.12 = 1,620.12 : x
  2. Step 2: Convert to fraction form
    3,927/5,892.12 = 1,620.12/x
  3. Step 3: Cross multiply
    3,927x = 5,892.12 × 1,620.12
  4. Step 4: Simplify right side
    3,927x = 9,545,941.45
  5. Step 5: Solve for x
    x = 9,545,941.45/3,927
  6. Step 6: Final answer
    x = 2,430.85

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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.