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Finding the Fourth Proportional to 3,466.73, 5,200.03 and 1,616.80

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Solution

The fourth proportional to 3,466.73, 5,200.03 and 1,616.80 is: 2,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.73 : 5,200.03 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    3,466.73/5,200.03 = 1,616.80/x
  3. Step 3: Cross multiply
    3,466.73x = 5,200.03 × 1,616.80
  4. Step 4: Simplify right side
    3,466.73x = 8,407,408.50
  5. Step 5: Solve for x
    x = 8,407,408.50/3,466.73
  6. Step 6: Final answer
    x = 2,425.17

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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.