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Finding the Fourth Proportional to 4,546.22, 6,817.88 and 1,467.50

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Solution

The fourth proportional to 4,546.22, 6,817.88 and 1,467.50 is: 2,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.22 : 6,817.88 = 1,467.50 : x
  2. Step 2: Convert to fraction form
    4,546.22/6,817.88 = 1,467.50/x
  3. Step 3: Cross multiply
    4,546.22x = 6,817.88 × 1,467.50
  4. Step 4: Simplify right side
    4,546.22x = 10,005,238.90
  5. Step 5: Solve for x
    x = 10,005,238.90/4,546.22
  6. Step 6: Final answer
    x = 2,200.78

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Why These Related Problems?

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