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Finding the Fourth Proportional to 3,838.21, 5,752.65 and 2,168.20

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Solution

The fourth proportional to 3,838.21, 5,752.65 and 2,168.20 is: 3,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.21 : 5,752.65 = 2,168.20 : x
  2. Step 2: Convert to fraction form
    3,838.21/5,752.65 = 2,168.20/x
  3. Step 3: Cross multiply
    3,838.21x = 5,752.65 × 2,168.20
  4. Step 4: Simplify right side
    3,838.21x = 12,472,866.97
  5. Step 5: Solve for x
    x = 12,472,866.97/3,838.21
  6. Step 6: Final answer
    x = 3,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.