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Finding the Fourth Proportional to 3,749.43, 5,174.21 and 2,070.94

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Solution

The fourth proportional to 3,749.43, 5,174.21 and 2,070.94 is: 2,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.43 : 5,174.21 = 2,070.94 : x
  2. Step 2: Convert to fraction form
    3,749.43/5,174.21 = 2,070.94/x
  3. Step 3: Cross multiply
    3,749.43x = 5,174.21 × 2,070.94
  4. Step 4: Simplify right side
    3,749.43x = 10,715,501.84
  5. Step 5: Solve for x
    x = 10,715,501.84/3,749.43
  6. Step 6: Final answer
    x = 2,857.90

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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.