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Finding the Fourth Proportional to 5,239.41, 7,854.17 and 1,950.27

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Solution

The fourth proportional to 5,239.41, 7,854.17 and 1,950.27 is: 2,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.41 : 7,854.17 = 1,950.27 : x
  2. Step 2: Convert to fraction form
    5,239.41/7,854.17 = 1,950.27/x
  3. Step 3: Cross multiply
    5,239.41x = 7,854.17 × 1,950.27
  4. Step 4: Simplify right side
    5,239.41x = 15,317,742.37
  5. Step 5: Solve for x
    x = 15,317,742.37/5,239.41
  6. Step 6: Final answer
    x = 2,923.56

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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.