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Finding the Fourth Proportional to 4,201.89, 5,797.90 and 2,433.19

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Solution

The fourth proportional to 4,201.89, 5,797.90 and 2,433.19 is: 3,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.89 : 5,797.90 = 2,433.19 : x
  2. Step 2: Convert to fraction form
    4,201.89/5,797.90 = 2,433.19/x
  3. Step 3: Cross multiply
    4,201.89x = 5,797.90 × 2,433.19
  4. Step 4: Simplify right side
    4,201.89x = 14,107,392.30
  5. Step 5: Solve for x
    x = 14,107,392.30/4,201.89
  6. Step 6: Final answer
    x = 3,357.39

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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.