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Finding the Fourth Proportional to 4,199.97, 5,795.72 and 2,311.25

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Solution

The fourth proportional to 4,199.97, 5,795.72 and 2,311.25 is: 3,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.97 : 5,795.72 = 2,311.25 : x
  2. Step 2: Convert to fraction form
    4,199.97/5,795.72 = 2,311.25/x
  3. Step 3: Cross multiply
    4,199.97x = 5,795.72 × 2,311.25
  4. Step 4: Simplify right side
    4,199.97x = 13,395,328.87
  5. Step 5: Solve for x
    x = 13,395,328.87/4,199.97
  6. Step 6: Final answer
    x = 3,189.39

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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.