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Finding the Fourth Proportional to 6,466.44, 8,923.38 and 3,671.88

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Solution

The fourth proportional to 6,466.44, 8,923.38 and 3,671.88 is: 5,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.44 : 8,923.38 = 3,671.88 : x
  2. Step 2: Convert to fraction form
    6,466.44/8,923.38 = 3,671.88/x
  3. Step 3: Cross multiply
    6,466.44x = 8,923.38 × 3,671.88
  4. Step 4: Simplify right side
    6,466.44x = 32,765,580.55
  5. Step 5: Solve for x
    x = 32,765,580.55/6,466.44
  6. Step 6: Final answer
    x = 5,067.02

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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.