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Finding the Fourth Proportional to 3,456.38, 5,180.46 and 1,992.50

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Solution

The fourth proportional to 3,456.38, 5,180.46 and 1,992.50 is: 2,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.38 : 5,180.46 = 1,992.50 : x
  2. Step 2: Convert to fraction form
    3,456.38/5,180.46 = 1,992.50/x
  3. Step 3: Cross multiply
    3,456.38x = 5,180.46 × 1,992.50
  4. Step 4: Simplify right side
    3,456.38x = 10,322,066.55
  5. Step 5: Solve for x
    x = 10,322,066.55/3,456.38
  6. Step 6: Final answer
    x = 2,986.38

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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.