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Finding the Fourth Proportional to 3,822.86, 5,760.34 and 3,144.72

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Solution

The fourth proportional to 3,822.86, 5,760.34 and 3,144.72 is: 4,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.86 : 5,760.34 = 3,144.72 : x
  2. Step 2: Convert to fraction form
    3,822.86/5,760.34 = 3,144.72/x
  3. Step 3: Cross multiply
    3,822.86x = 5,760.34 × 3,144.72
  4. Step 4: Simplify right side
    3,822.86x = 18,114,656.40
  5. Step 5: Solve for x
    x = 18,114,656.40/3,822.86
  6. Step 6: Final answer
    x = 4,738.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.