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Finding the Fourth Proportional to 4,667.71, 6,996.92 and 1,892.62

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Solution

The fourth proportional to 4,667.71, 6,996.92 and 1,892.62 is: 2,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.71 : 6,996.92 = 1,892.62 : x
  2. Step 2: Convert to fraction form
    4,667.71/6,996.92 = 1,892.62/x
  3. Step 3: Cross multiply
    4,667.71x = 6,996.92 × 1,892.62
  4. Step 4: Simplify right side
    4,667.71x = 13,242,497.97
  5. Step 5: Solve for x
    x = 13,242,497.97/4,667.71
  6. Step 6: Final answer
    x = 2,837.05

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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.