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Finding the Fourth Proportional to 4,227, 5,833.26 and 2,364

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Solution

The fourth proportional to 4,227, 5,833.26 and 2,364 is: 3,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227 : 5,833.26 = 2,364 : x
  2. Step 2: Convert to fraction form
    4,227/5,833.26 = 2,364/x
  3. Step 3: Cross multiply
    4,227x = 5,833.26 × 2,364
  4. Step 4: Simplify right side
    4,227x = 13,789,826.64
  5. Step 5: Solve for x
    x = 13,789,826.64/4,227
  6. Step 6: Final answer
    x = 3,262.32

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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.