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Finding the Fourth Proportional to 5,092.76, 7,644.31 and 2,629.35

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Solution

The fourth proportional to 5,092.76, 7,644.31 and 2,629.35 is: 3,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.76 : 7,644.31 = 2,629.35 : x
  2. Step 2: Convert to fraction form
    5,092.76/7,644.31 = 2,629.35/x
  3. Step 3: Cross multiply
    5,092.76x = 7,644.31 × 2,629.35
  4. Step 4: Simplify right side
    5,092.76x = 20,099,566.50
  5. Step 5: Solve for x
    x = 20,099,566.50/5,092.76
  6. Step 6: Final answer
    x = 3,946.69

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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.