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Finding the Fourth Proportional to 4,168.12, 5,751.98 and 2,305.24

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Solution

The fourth proportional to 4,168.12, 5,751.98 and 2,305.24 is: 3,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.12 : 5,751.98 = 2,305.24 : x
  2. Step 2: Convert to fraction form
    4,168.12/5,751.98 = 2,305.24/x
  3. Step 3: Cross multiply
    4,168.12x = 5,751.98 × 2,305.24
  4. Step 4: Simplify right side
    4,168.12x = 13,259,694.38
  5. Step 5: Solve for x
    x = 13,259,694.38/4,168.12
  6. Step 6: Final answer
    x = 3,181.22

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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.