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Finding the Fourth Proportional to 4,343, 5,991.92 and 2,771.60

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Solution

The fourth proportional to 4,343, 5,991.92 and 2,771.60 is: 3,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343 : 5,991.92 = 2,771.60 : x
  2. Step 2: Convert to fraction form
    4,343/5,991.92 = 2,771.60/x
  3. Step 3: Cross multiply
    4,343x = 5,991.92 × 2,771.60
  4. Step 4: Simplify right side
    4,343x = 16,607,205.47
  5. Step 5: Solve for x
    x = 16,607,205.47/4,343
  6. Step 6: Final answer
    x = 3,823.90

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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.