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Finding the Fourth Proportional to 5,171.07, 7,750.41 and 1,882.37

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Solution

The fourth proportional to 5,171.07, 7,750.41 and 1,882.37 is: 2,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.07 : 7,750.41 = 1,882.37 : x
  2. Step 2: Convert to fraction form
    5,171.07/7,750.41 = 1,882.37/x
  3. Step 3: Cross multiply
    5,171.07x = 7,750.41 × 1,882.37
  4. Step 4: Simplify right side
    5,171.07x = 14,589,139.27
  5. Step 5: Solve for x
    x = 14,589,139.27/5,171.07
  6. Step 6: Final answer
    x = 2,821.30

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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.