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Finding the Fourth Proportional to 3,509.14, 5,265.87 and 1,950.34

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Solution

The fourth proportional to 3,509.14, 5,265.87 and 1,950.34 is: 2,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.14 : 5,265.87 = 1,950.34 : x
  2. Step 2: Convert to fraction form
    3,509.14/5,265.87 = 1,950.34/x
  3. Step 3: Cross multiply
    3,509.14x = 5,265.87 × 1,950.34
  4. Step 4: Simplify right side
    3,509.14x = 10,270,236.90
  5. Step 5: Solve for x
    x = 10,270,236.90/3,509.14
  6. Step 6: Final answer
    x = 2,926.71

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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.