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Finding the Fourth Proportional to 4,546.58, 6,817.71 and 1,467.86

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Solution

The fourth proportional to 4,546.58, 6,817.71 and 1,467.86 is: 2,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.58 : 6,817.71 = 1,467.86 : x
  2. Step 2: Convert to fraction form
    4,546.58/6,817.71 = 1,467.86/x
  3. Step 3: Cross multiply
    4,546.58x = 6,817.71 × 1,467.86
  4. Step 4: Simplify right side
    4,546.58x = 10,007,443.80
  5. Step 5: Solve for x
    x = 10,007,443.80/4,546.58
  6. Step 6: Final answer
    x = 2,201.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.