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Finding the Fourth Proportional to 4,106.72, 5,668 and 2,338

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Solution

The fourth proportional to 4,106.72, 5,668 and 2,338 is: 3,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.72 : 5,668 = 2,338 : x
  2. Step 2: Convert to fraction form
    4,106.72/5,668 = 2,338/x
  3. Step 3: Cross multiply
    4,106.72x = 5,668 × 2,338
  4. Step 4: Simplify right side
    4,106.72x = 13,251,784
  5. Step 5: Solve for x
    x = 13,251,784/4,106.72
  6. Step 6: Final answer
    x = 3,226.85

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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.