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Finding the Fourth Proportional to 3,749.92, 5,175.21 and 2,071.51

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Solution

The fourth proportional to 3,749.92, 5,175.21 and 2,071.51 is: 2,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.92 : 5,175.21 = 2,071.51 : x
  2. Step 2: Convert to fraction form
    3,749.92/5,175.21 = 2,071.51/x
  3. Step 3: Cross multiply
    3,749.92x = 5,175.21 × 2,071.51
  4. Step 4: Simplify right side
    3,749.92x = 10,720,499.27
  5. Step 5: Solve for x
    x = 10,720,499.27/3,749.92
  6. Step 6: Final answer
    x = 2,858.86

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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.