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Finding the Fourth Proportional to 5,733.33, 7,912.31 and 3,215.31

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Solution

The fourth proportional to 5,733.33, 7,912.31 and 3,215.31 is: 4,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.33 : 7,912.31 = 3,215.31 : x
  2. Step 2: Convert to fraction form
    5,733.33/7,912.31 = 3,215.31/x
  3. Step 3: Cross multiply
    5,733.33x = 7,912.31 × 3,215.31
  4. Step 4: Simplify right side
    5,733.33x = 25,440,529.47
  5. Step 5: Solve for x
    x = 25,440,529.47/5,733.33
  6. Step 6: Final answer
    x = 4,437.30

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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.