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Finding the Fourth Proportional to 3,394.01, 5,089.73 and 1,172.21

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Solution

The fourth proportional to 3,394.01, 5,089.73 and 1,172.21 is: 1,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.01 : 5,089.73 = 1,172.21 : x
  2. Step 2: Convert to fraction form
    3,394.01/5,089.73 = 1,172.21/x
  3. Step 3: Cross multiply
    3,394.01x = 5,089.73 × 1,172.21
  4. Step 4: Simplify right side
    3,394.01x = 5,966,201.09
  5. Step 5: Solve for x
    x = 5,966,201.09/3,394.01
  6. Step 6: Final answer
    x = 1,757.86

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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.