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Finding the Fourth Proportional to 4,766.28, 7,146.92 and 1,992.44

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Solution

The fourth proportional to 4,766.28, 7,146.92 and 1,992.44 is: 2,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.28 : 7,146.92 = 1,992.44 : x
  2. Step 2: Convert to fraction form
    4,766.28/7,146.92 = 1,992.44/x
  3. Step 3: Cross multiply
    4,766.28x = 7,146.92 × 1,992.44
  4. Step 4: Simplify right side
    4,766.28x = 14,239,809.28
  5. Step 5: Solve for x
    x = 14,239,809.28/4,766.28
  6. Step 6: Final answer
    x = 2,987.61

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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.