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Finding the Fourth Proportional to 4,222, 5,826.36 and 2,359

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Solution

The fourth proportional to 4,222, 5,826.36 and 2,359 is: 3,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222 : 5,826.36 = 2,359 : x
  2. Step 2: Convert to fraction form
    4,222/5,826.36 = 2,359/x
  3. Step 3: Cross multiply
    4,222x = 5,826.36 × 2,359
  4. Step 4: Simplify right side
    4,222x = 13,744,383.24
  5. Step 5: Solve for x
    x = 13,744,383.24/4,222
  6. Step 6: Final answer
    x = 3,255.42

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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.