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Finding the Fourth Proportional to 4,982.62, 7,466.94 and 2,762.48

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Solution

The fourth proportional to 4,982.62, 7,466.94 and 2,762.48 is: 4,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.62 : 7,466.94 = 2,762.48 : x
  2. Step 2: Convert to fraction form
    4,982.62/7,466.94 = 2,762.48/x
  3. Step 3: Cross multiply
    4,982.62x = 7,466.94 × 2,762.48
  4. Step 4: Simplify right side
    4,982.62x = 20,627,221.26
  5. Step 5: Solve for x
    x = 20,627,221.26/4,982.62
  6. Step 6: Final answer
    x = 4,139.83

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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.