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Finding the Fourth Proportional to 5,209.81, 7,189.50 and 2,851.90

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Solution

The fourth proportional to 5,209.81, 7,189.50 and 2,851.90 is: 3,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.81 : 7,189.50 = 2,851.90 : x
  2. Step 2: Convert to fraction form
    5,209.81/7,189.50 = 2,851.90/x
  3. Step 3: Cross multiply
    5,209.81x = 7,189.50 × 2,851.90
  4. Step 4: Simplify right side
    5,209.81x = 20,503,735.05
  5. Step 5: Solve for x
    x = 20,503,735.05/5,209.81
  6. Step 6: Final answer
    x = 3,935.60

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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.