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Finding the Fourth Proportional to 3,449.13, 5,174.71 and 1,989.33

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Solution

The fourth proportional to 3,449.13, 5,174.71 and 1,989.33 is: 2,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.13 : 5,174.71 = 1,989.33 : x
  2. Step 2: Convert to fraction form
    3,449.13/5,174.71 = 1,989.33/x
  3. Step 3: Cross multiply
    3,449.13x = 5,174.71 × 1,989.33
  4. Step 4: Simplify right side
    3,449.13x = 10,294,205.84
  5. Step 5: Solve for x
    x = 10,294,205.84/3,449.13
  6. Step 6: Final answer
    x = 2,984.58

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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.