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Finding the Fourth Proportional to 3,821.86, 5,274.46 and 2,143.64

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Solution

The fourth proportional to 3,821.86, 5,274.46 and 2,143.64 is: 2,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.86 : 5,274.46 = 2,143.64 : x
  2. Step 2: Convert to fraction form
    3,821.86/5,274.46 = 2,143.64/x
  3. Step 3: Cross multiply
    3,821.86x = 5,274.46 × 2,143.64
  4. Step 4: Simplify right side
    3,821.86x = 11,306,543.43
  5. Step 5: Solve for x
    x = 11,306,543.43/3,821.86
  6. Step 6: Final answer
    x = 2,958.39

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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.