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Finding the Fourth Proportional to 3,449.62, 5,174.37 and 1,258.33

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Solution

The fourth proportional to 3,449.62, 5,174.37 and 1,258.33 is: 1,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.62 : 5,174.37 = 1,258.33 : x
  2. Step 2: Convert to fraction form
    3,449.62/5,174.37 = 1,258.33/x
  3. Step 3: Cross multiply
    3,449.62x = 5,174.37 × 1,258.33
  4. Step 4: Simplify right side
    3,449.62x = 6,511,065.00
  5. Step 5: Solve for x
    x = 6,511,065.00/3,449.62
  6. Step 6: Final answer
    x = 1,887.47

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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.