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Finding the Fourth Proportional to 4,733, 7,102.38 and 1,997

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Solution

The fourth proportional to 4,733, 7,102.38 and 1,997 is: 2,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733 : 7,102.38 = 1,997 : x
  2. Step 2: Convert to fraction form
    4,733/7,102.38 = 1,997/x
  3. Step 3: Cross multiply
    4,733x = 7,102.38 × 1,997
  4. Step 4: Simplify right side
    4,733x = 14,183,452.86
  5. Step 5: Solve for x
    x = 14,183,452.86/4,733
  6. Step 6: Final answer
    x = 2,996.72

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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.