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Finding the Fourth Proportional to 5,111.88, 7,666.68 and 1,991.97

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Solution

The fourth proportional to 5,111.88, 7,666.68 and 1,991.97 is: 2,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.88 : 7,666.68 = 1,991.97 : x
  2. Step 2: Convert to fraction form
    5,111.88/7,666.68 = 1,991.97/x
  3. Step 3: Cross multiply
    5,111.88x = 7,666.68 × 1,991.97
  4. Step 4: Simplify right side
    5,111.88x = 15,271,796.56
  5. Step 5: Solve for x
    x = 15,271,796.56/5,111.88
  6. Step 6: Final answer
    x = 2,987.51

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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.