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Finding the Fourth Proportional to 4,279.59, 5,936.05 and 4,165.80

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Solution

The fourth proportional to 4,279.59, 5,936.05 and 4,165.80 is: 5,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.59 : 5,936.05 = 4,165.80 : x
  2. Step 2: Convert to fraction form
    4,279.59/5,936.05 = 4,165.80/x
  3. Step 3: Cross multiply
    4,279.59x = 5,936.05 × 4,165.80
  4. Step 4: Simplify right side
    4,279.59x = 24,728,397.09
  5. Step 5: Solve for x
    x = 24,728,397.09/4,279.59
  6. Step 6: Final answer
    x = 5,778.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.