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Finding the Fourth Proportional to 3,342.64, 5,005.68 and 2,694.64

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Solution

The fourth proportional to 3,342.64, 5,005.68 and 2,694.64 is: 4,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.64 : 5,005.68 = 2,694.64 : x
  2. Step 2: Convert to fraction form
    3,342.64/5,005.68 = 2,694.64/x
  3. Step 3: Cross multiply
    3,342.64x = 5,005.68 × 2,694.64
  4. Step 4: Simplify right side
    3,342.64x = 13,488,505.56
  5. Step 5: Solve for x
    x = 13,488,505.56/3,342.64
  6. Step 6: Final answer
    x = 4,035.29

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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.