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Finding the Fourth Proportional to 6,322.88, 8,725.60 and 3,671.84

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Solution

The fourth proportional to 6,322.88, 8,725.60 and 3,671.84 is: 5,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.88 : 8,725.60 = 3,671.84 : x
  2. Step 2: Convert to fraction form
    6,322.88/8,725.60 = 3,671.84/x
  3. Step 3: Cross multiply
    6,322.88x = 8,725.60 × 3,671.84
  4. Step 4: Simplify right side
    6,322.88x = 32,039,007.10
  5. Step 5: Solve for x
    x = 32,039,007.10/6,322.88
  6. Step 6: Final answer
    x = 5,067.15

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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.