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Finding the Fourth Proportional to 5,144.00, 7,716.40 and 1,857.42

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Solution

The fourth proportional to 5,144.00, 7,716.40 and 1,857.42 is: 2,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.00 : 7,716.40 = 1,857.42 : x
  2. Step 2: Convert to fraction form
    5,144.00/7,716.40 = 1,857.42/x
  3. Step 3: Cross multiply
    5,144.00x = 7,716.40 × 1,857.42
  4. Step 4: Simplify right side
    5,144.00x = 14,332,591.04
  5. Step 5: Solve for x
    x = 14,332,591.04/5,144.00
  6. Step 6: Final answer
    x = 2,786.28

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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.