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Finding the Fourth Proportional to 5,209.30, 7,188.42 and 2,851.42

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Solution

The fourth proportional to 5,209.30, 7,188.42 and 2,851.42 is: 3,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.30 : 7,188.42 = 2,851.42 : x
  2. Step 2: Convert to fraction form
    5,209.30/7,188.42 = 2,851.42/x
  3. Step 3: Cross multiply
    5,209.30x = 7,188.42 × 2,851.42
  4. Step 4: Simplify right side
    5,209.30x = 20,497,204.56
  5. Step 5: Solve for x
    x = 20,497,204.56/5,209.30
  6. Step 6: Final answer
    x = 3,934.73

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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.