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Finding the Fourth Proportional to 3,833.32, 5,284.74 and 3,169.96

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Solution

The fourth proportional to 3,833.32, 5,284.74 and 3,169.96 is: 4,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.32 : 5,284.74 = 3,169.96 : x
  2. Step 2: Convert to fraction form
    3,833.32/5,284.74 = 3,169.96/x
  3. Step 3: Cross multiply
    3,833.32x = 5,284.74 × 3,169.96
  4. Step 4: Simplify right side
    3,833.32x = 16,752,414.41
  5. Step 5: Solve for x
    x = 16,752,414.41/3,833.32
  6. Step 6: Final answer
    x = 4,370.21

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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.