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Finding the Fourth Proportional to 4,796, 7,194 and 1,333.24

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Solution

The fourth proportional to 4,796, 7,194 and 1,333.24 is: 1,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796 : 7,194 = 1,333.24 : x
  2. Step 2: Convert to fraction form
    4,796/7,194 = 1,333.24/x
  3. Step 3: Cross multiply
    4,796x = 7,194 × 1,333.24
  4. Step 4: Simplify right side
    4,796x = 9,591,328.56
  5. Step 5: Solve for x
    x = 9,591,328.56/4,796
  6. Step 6: Final answer
    x = 1,999.86

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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.