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Finding the Fourth Proportional to 4,481.56, 6,725.22 and 2,431

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Solution

The fourth proportional to 4,481.56, 6,725.22 and 2,431 is: 3,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.56 : 6,725.22 = 2,431 : x
  2. Step 2: Convert to fraction form
    4,481.56/6,725.22 = 2,431/x
  3. Step 3: Cross multiply
    4,481.56x = 6,725.22 × 2,431
  4. Step 4: Simplify right side
    4,481.56x = 16,349,009.82
  5. Step 5: Solve for x
    x = 16,349,009.82/4,481.56
  6. Step 6: Final answer
    x = 3,648.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.