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Finding the Fourth Proportional to 4,723.22, 7,087.80 and 1,801.82

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Solution

The fourth proportional to 4,723.22, 7,087.80 and 1,801.82 is: 2,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.22 : 7,087.80 = 1,801.82 : x
  2. Step 2: Convert to fraction form
    4,723.22/7,087.80 = 1,801.82/x
  3. Step 3: Cross multiply
    4,723.22x = 7,087.80 × 1,801.82
  4. Step 4: Simplify right side
    4,723.22x = 12,770,939.80
  5. Step 5: Solve for x
    x = 12,770,939.80/4,723.22
  6. Step 6: Final answer
    x = 2,703.86

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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.