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Finding the Fourth Proportional to 4,200.09, 5,796.24 and 2,311.72

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Solution

The fourth proportional to 4,200.09, 5,796.24 and 2,311.72 is: 3,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.09 : 5,796.24 = 2,311.72 : x
  2. Step 2: Convert to fraction form
    4,200.09/5,796.24 = 2,311.72/x
  3. Step 3: Cross multiply
    4,200.09x = 5,796.24 × 2,311.72
  4. Step 4: Simplify right side
    4,200.09x = 13,399,306.38
  5. Step 5: Solve for x
    x = 13,399,306.38/4,200.09
  6. Step 6: Final answer
    x = 3,190.25

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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.