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Finding the Fourth Proportional to 4,072.71, 6,109.89 and 1,732.71

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Solution

The fourth proportional to 4,072.71, 6,109.89 and 1,732.71 is: 2,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.71 : 6,109.89 = 1,732.71 : x
  2. Step 2: Convert to fraction form
    4,072.71/6,109.89 = 1,732.71/x
  3. Step 3: Cross multiply
    4,072.71x = 6,109.89 × 1,732.71
  4. Step 4: Simplify right side
    4,072.71x = 10,586,667.50
  5. Step 5: Solve for x
    x = 10,586,667.50/4,072.71
  6. Step 6: Final answer
    x = 2,599.42

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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.