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Finding the Fourth Proportional to 5,662.45, 8,481.28 and 4,014

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Solution

The fourth proportional to 5,662.45, 8,481.28 and 4,014 is: 6,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.45 : 8,481.28 = 4,014 : x
  2. Step 2: Convert to fraction form
    5,662.45/8,481.28 = 4,014/x
  3. Step 3: Cross multiply
    5,662.45x = 8,481.28 × 4,014
  4. Step 4: Simplify right side
    5,662.45x = 34,043,857.92
  5. Step 5: Solve for x
    x = 34,043,857.92/5,662.45
  6. Step 6: Final answer
    x = 6,012.21

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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.