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Finding the Fourth Proportional to 5,174.70, 7,141.09 and 2,816.86

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Solution

The fourth proportional to 5,174.70, 7,141.09 and 2,816.86 is: 3,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.70 : 7,141.09 = 2,816.86 : x
  2. Step 2: Convert to fraction form
    5,174.70/7,141.09 = 2,816.86/x
  3. Step 3: Cross multiply
    5,174.70x = 7,141.09 × 2,816.86
  4. Step 4: Simplify right side
    5,174.70x = 20,115,450.78
  5. Step 5: Solve for x
    x = 20,115,450.78/5,174.70
  6. Step 6: Final answer
    x = 3,887.27

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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.