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Finding the Fourth Proportional to 3,662.96, 5,047 and 2,481.96

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Solution

The fourth proportional to 3,662.96, 5,047 and 2,481.96 is: 3,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.96 : 5,047 = 2,481.96 : x
  2. Step 2: Convert to fraction form
    3,662.96/5,047 = 2,481.96/x
  3. Step 3: Cross multiply
    3,662.96x = 5,047 × 2,481.96
  4. Step 4: Simplify right side
    3,662.96x = 12,526,452.12
  5. Step 5: Solve for x
    x = 12,526,452.12/3,662.96
  6. Step 6: Final answer
    x = 3,419.76

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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.