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Finding the Fourth Proportional to 4,992, 7,486.72 and 1,481.19

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Solution

The fourth proportional to 4,992, 7,486.72 and 1,481.19 is: 2,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 7,486.72 = 1,481.19 : x
  2. Step 2: Convert to fraction form
    4,992/7,486.72 = 1,481.19/x
  3. Step 3: Cross multiply
    4,992x = 7,486.72 × 1,481.19
  4. Step 4: Simplify right side
    4,992x = 11,089,254.80
  5. Step 5: Solve for x
    x = 11,089,254.80/4,992
  6. Step 6: Final answer
    x = 2,221.41

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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.