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Finding the Fourth Proportional to 4,609.82, 6,914.05 and 1,687.44

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Solution

The fourth proportional to 4,609.82, 6,914.05 and 1,687.44 is: 2,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.82 : 6,914.05 = 1,687.44 : x
  2. Step 2: Convert to fraction form
    4,609.82/6,914.05 = 1,687.44/x
  3. Step 3: Cross multiply
    4,609.82x = 6,914.05 × 1,687.44
  4. Step 4: Simplify right side
    4,609.82x = 11,667,036.09
  5. Step 5: Solve for x
    x = 11,667,036.09/4,609.82
  6. Step 6: Final answer
    x = 2,530.91

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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.