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Finding the Fourth Proportional to 4,266, 5,883.84 and 2,941.92

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Solution

The fourth proportional to 4,266, 5,883.84 and 2,941.92 is: 4,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 5,883.84 = 2,941.92 : x
  2. Step 2: Convert to fraction form
    4,266/5,883.84 = 2,941.92/x
  3. Step 3: Cross multiply
    4,266x = 5,883.84 × 2,941.92
  4. Step 4: Simplify right side
    4,266x = 17,309,786.57
  5. Step 5: Solve for x
    x = 17,309,786.57/4,266
  6. Step 6: Final answer
    x = 4,057.62

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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.