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Finding the Fourth Proportional to 3,422.79, 5,107.32 and 3,213.81

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Solution

The fourth proportional to 3,422.79, 5,107.32 and 3,213.81 is: 4,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.79 : 5,107.32 = 3,213.81 : x
  2. Step 2: Convert to fraction form
    3,422.79/5,107.32 = 3,213.81/x
  3. Step 3: Cross multiply
    3,422.79x = 5,107.32 × 3,213.81
  4. Step 4: Simplify right side
    3,422.79x = 16,413,956.09
  5. Step 5: Solve for x
    x = 16,413,956.09/3,422.79
  6. Step 6: Final answer
    x = 4,795.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.