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Finding the Fourth Proportional to 5,209.76, 7,189.18 and 2,851.44

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Solution

The fourth proportional to 5,209.76, 7,189.18 and 2,851.44 is: 3,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.76 : 7,189.18 = 2,851.44 : x
  2. Step 2: Convert to fraction form
    5,209.76/7,189.18 = 2,851.44/x
  3. Step 3: Cross multiply
    5,209.76x = 7,189.18 × 2,851.44
  4. Step 4: Simplify right side
    5,209.76x = 20,499,515.42
  5. Step 5: Solve for x
    x = 20,499,515.42/5,209.76
  6. Step 6: Final answer
    x = 3,934.83

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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.