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Finding the Fourth Proportional to 3,449.49, 5,174.25 and 1,474.83

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Solution

The fourth proportional to 3,449.49, 5,174.25 and 1,474.83 is: 2,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.49 : 5,174.25 = 1,474.83 : x
  2. Step 2: Convert to fraction form
    3,449.49/5,174.25 = 1,474.83/x
  3. Step 3: Cross multiply
    3,449.49x = 5,174.25 × 1,474.83
  4. Step 4: Simplify right side
    3,449.49x = 7,631,139.13
  5. Step 5: Solve for x
    x = 7,631,139.13/3,449.49
  6. Step 6: Final answer
    x = 2,212.25

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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.