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Finding the Fourth Proportional to 6,454, 8,906.04 and 3,659.44

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Solution

The fourth proportional to 6,454, 8,906.04 and 3,659.44 is: 5,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454 : 8,906.04 = 3,659.44 : x
  2. Step 2: Convert to fraction form
    6,454/8,906.04 = 3,659.44/x
  3. Step 3: Cross multiply
    6,454x = 8,906.04 × 3,659.44
  4. Step 4: Simplify right side
    6,454x = 32,591,119.02
  5. Step 5: Solve for x
    x = 32,591,119.02/6,454
  6. Step 6: Final answer
    x = 5,049.76

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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.