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Finding the Fourth Proportional to 3,923.69, 5,882.56 and 1,950.12

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Solution

The fourth proportional to 3,923.69, 5,882.56 and 1,950.12 is: 2,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.69 : 5,882.56 = 1,950.12 : x
  2. Step 2: Convert to fraction form
    3,923.69/5,882.56 = 1,950.12/x
  3. Step 3: Cross multiply
    3,923.69x = 5,882.56 × 1,950.12
  4. Step 4: Simplify right side
    3,923.69x = 11,471,693.03
  5. Step 5: Solve for x
    x = 11,471,693.03/3,923.69
  6. Step 6: Final answer
    x = 2,923.70

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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.