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Finding the Fourth Proportional to 5,283.43, 7,909.38 and 3,197.14

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Solution

The fourth proportional to 5,283.43, 7,909.38 and 3,197.14 is: 4,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.43 : 7,909.38 = 3,197.14 : x
  2. Step 2: Convert to fraction form
    5,283.43/7,909.38 = 3,197.14/x
  3. Step 3: Cross multiply
    5,283.43x = 7,909.38 × 3,197.14
  4. Step 4: Simplify right side
    5,283.43x = 25,287,375.40
  5. Step 5: Solve for x
    x = 25,287,375.40/5,283.43
  6. Step 6: Final answer
    x = 4,786.17

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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.