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Finding the Fourth Proportional to 5,209.71, 7,189.41 and 2,851.86

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Solution

The fourth proportional to 5,209.71, 7,189.41 and 2,851.86 is: 3,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.71 : 7,189.41 = 2,851.86 : x
  2. Step 2: Convert to fraction form
    5,209.71/7,189.41 = 2,851.86/x
  3. Step 3: Cross multiply
    5,209.71x = 7,189.41 × 2,851.86
  4. Step 4: Simplify right side
    5,209.71x = 20,503,190.80
  5. Step 5: Solve for x
    x = 20,503,190.80/5,209.71
  6. Step 6: Final answer
    x = 3,935.57

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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.