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Finding the Fourth Proportional to 3,380.64, 4,664.25 and 2,672.61

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Solution

The fourth proportional to 3,380.64, 4,664.25 and 2,672.61 is: 3,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.64 : 4,664.25 = 2,672.61 : x
  2. Step 2: Convert to fraction form
    3,380.64/4,664.25 = 2,672.61/x
  3. Step 3: Cross multiply
    3,380.64x = 4,664.25 × 2,672.61
  4. Step 4: Simplify right side
    3,380.64x = 12,465,721.19
  5. Step 5: Solve for x
    x = 12,465,721.19/3,380.64
  6. Step 6: Final answer
    x = 3,687.38

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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.