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Finding the Fourth Proportional to 4,200.86, 5,797.42 and 2,408.63

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Solution

The fourth proportional to 4,200.86, 5,797.42 and 2,408.63 is: 3,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.86 : 5,797.42 = 2,408.63 : x
  2. Step 2: Convert to fraction form
    4,200.86/5,797.42 = 2,408.63/x
  3. Step 3: Cross multiply
    4,200.86x = 5,797.42 × 2,408.63
  4. Step 4: Simplify right side
    4,200.86x = 13,963,839.73
  5. Step 5: Solve for x
    x = 13,963,839.73/4,200.86
  6. Step 6: Final answer
    x = 3,324.04

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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.