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Finding the Fourth Proportional to 4,346.02, 5,991.87 and 2,771.38

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Solution

The fourth proportional to 4,346.02, 5,991.87 and 2,771.38 is: 3,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.02 : 5,991.87 = 2,771.38 : x
  2. Step 2: Convert to fraction form
    4,346.02/5,991.87 = 2,771.38/x
  3. Step 3: Cross multiply
    4,346.02x = 5,991.87 × 2,771.38
  4. Step 4: Simplify right side
    4,346.02x = 16,605,748.68
  5. Step 5: Solve for x
    x = 16,605,748.68/4,346.02
  6. Step 6: Final answer
    x = 3,820.91

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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.