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Finding the Fourth Proportional to 4,906.56, 7,359.68 and 1,621.44

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Solution

The fourth proportional to 4,906.56, 7,359.68 and 1,621.44 is: 2,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.56 : 7,359.68 = 1,621.44 : x
  2. Step 2: Convert to fraction form
    4,906.56/7,359.68 = 1,621.44/x
  3. Step 3: Cross multiply
    4,906.56x = 7,359.68 × 1,621.44
  4. Step 4: Simplify right side
    4,906.56x = 11,933,279.54
  5. Step 5: Solve for x
    x = 11,933,279.54/4,906.56
  6. Step 6: Final answer
    x = 2,432.11

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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.