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Finding the Fourth Proportional to 4,726.60, 7,092.60 and 3,266.80

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Solution

The fourth proportional to 4,726.60, 7,092.60 and 3,266.80 is: 4,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.60 : 7,092.60 = 3,266.80 : x
  2. Step 2: Convert to fraction form
    4,726.60/7,092.60 = 3,266.80/x
  3. Step 3: Cross multiply
    4,726.60x = 7,092.60 × 3,266.80
  4. Step 4: Simplify right side
    4,726.60x = 23,170,105.68
  5. Step 5: Solve for x
    x = 23,170,105.68/4,726.60
  6. Step 6: Final answer
    x = 4,902.07

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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.