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Finding the Fourth Proportional to 4,876, 6,729.04 and 2,668

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Solution

The fourth proportional to 4,876, 6,729.04 and 2,668 is: 3,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876 : 6,729.04 = 2,668 : x
  2. Step 2: Convert to fraction form
    4,876/6,729.04 = 2,668/x
  3. Step 3: Cross multiply
    4,876x = 6,729.04 × 2,668
  4. Step 4: Simplify right side
    4,876x = 17,953,078.72
  5. Step 5: Solve for x
    x = 17,953,078.72/4,876
  6. Step 6: Final answer
    x = 3,681.93

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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.