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Finding the Fourth Proportional to 4,233.41, 6,354.22 and 2,043.68

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Solution

The fourth proportional to 4,233.41, 6,354.22 and 2,043.68 is: 3,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.41 : 6,354.22 = 2,043.68 : x
  2. Step 2: Convert to fraction form
    4,233.41/6,354.22 = 2,043.68/x
  3. Step 3: Cross multiply
    4,233.41x = 6,354.22 × 2,043.68
  4. Step 4: Simplify right side
    4,233.41x = 12,985,971.33
  5. Step 5: Solve for x
    x = 12,985,971.33/4,233.41
  6. Step 6: Final answer
    x = 3,067.50

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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.