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Finding the Fourth Proportional to 6,121.64, 8,447.80 and 3,327.12

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Solution

The fourth proportional to 6,121.64, 8,447.80 and 3,327.12 is: 4,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.64 : 8,447.80 = 3,327.12 : x
  2. Step 2: Convert to fraction form
    6,121.64/8,447.80 = 3,327.12/x
  3. Step 3: Cross multiply
    6,121.64x = 8,447.80 × 3,327.12
  4. Step 4: Simplify right side
    6,121.64x = 28,106,844.34
  5. Step 5: Solve for x
    x = 28,106,844.34/6,121.64
  6. Step 6: Final answer
    x = 4,591.39

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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.