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Finding the Fourth Proportional to 4,286.64, 5,915.34 and 2,519.22

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Solution

The fourth proportional to 4,286.64, 5,915.34 and 2,519.22 is: 3,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.64 : 5,915.34 = 2,519.22 : x
  2. Step 2: Convert to fraction form
    4,286.64/5,915.34 = 2,519.22/x
  3. Step 3: Cross multiply
    4,286.64x = 5,915.34 × 2,519.22
  4. Step 4: Simplify right side
    4,286.64x = 14,902,042.83
  5. Step 5: Solve for x
    x = 14,902,042.83/4,286.64
  6. Step 6: Final answer
    x = 3,476.39

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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.