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Finding the Fourth Proportional to 5,112.93, 7,667.76 and 1,992.18

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Solution

The fourth proportional to 5,112.93, 7,667.76 and 1,992.18 is: 2,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.93 : 7,667.76 = 1,992.18 : x
  2. Step 2: Convert to fraction form
    5,112.93/7,667.76 = 1,992.18/x
  3. Step 3: Cross multiply
    5,112.93x = 7,667.76 × 1,992.18
  4. Step 4: Simplify right side
    5,112.93x = 15,275,551.21
  5. Step 5: Solve for x
    x = 15,275,551.21/5,112.93
  6. Step 6: Final answer
    x = 2,987.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.