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Finding the Fourth Proportional to 3,749.88, 5,175.22 and 2,258.44

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Solution

The fourth proportional to 3,749.88, 5,175.22 and 2,258.44 is: 3,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.88 : 5,175.22 = 2,258.44 : x
  2. Step 2: Convert to fraction form
    3,749.88/5,175.22 = 2,258.44/x
  3. Step 3: Cross multiply
    3,749.88x = 5,175.22 × 2,258.44
  4. Step 4: Simplify right side
    3,749.88x = 11,687,923.86
  5. Step 5: Solve for x
    x = 11,687,923.86/3,749.88
  6. Step 6: Final answer
    x = 3,116.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.