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Finding the Fourth Proportional to 5,165.82, 7,744.01 and 2,243.07

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Solution

The fourth proportional to 5,165.82, 7,744.01 and 2,243.07 is: 3,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.82 : 7,744.01 = 2,243.07 : x
  2. Step 2: Convert to fraction form
    5,165.82/7,744.01 = 2,243.07/x
  3. Step 3: Cross multiply
    5,165.82x = 7,744.01 × 2,243.07
  4. Step 4: Simplify right side
    5,165.82x = 17,370,345.30
  5. Step 5: Solve for x
    x = 17,370,345.30/5,165.82
  6. Step 6: Final answer
    x = 3,362.55

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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.