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Finding the Fourth Proportional to 5,093.86, 7,028.92 and 2,855.60

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Solution

The fourth proportional to 5,093.86, 7,028.92 and 2,855.60 is: 3,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.86 : 7,028.92 = 2,855.60 : x
  2. Step 2: Convert to fraction form
    5,093.86/7,028.92 = 2,855.60/x
  3. Step 3: Cross multiply
    5,093.86x = 7,028.92 × 2,855.60
  4. Step 4: Simplify right side
    5,093.86x = 20,071,783.95
  5. Step 5: Solve for x
    x = 20,071,783.95/5,093.86
  6. Step 6: Final answer
    x = 3,940.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.