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Finding the Fourth Proportional to 4,817.22, 6,647.81 and 2,827.80

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Solution

The fourth proportional to 4,817.22, 6,647.81 and 2,827.80 is: 3,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.22 : 6,647.81 = 2,827.80 : x
  2. Step 2: Convert to fraction form
    4,817.22/6,647.81 = 2,827.80/x
  3. Step 3: Cross multiply
    4,817.22x = 6,647.81 × 2,827.80
  4. Step 4: Simplify right side
    4,817.22x = 18,798,662.98
  5. Step 5: Solve for x
    x = 18,798,662.98/4,817.22
  6. Step 6: Final answer
    x = 3,902.39

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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.