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Finding the Fourth Proportional to 5,144.97, 7,716.12 and 2,024.97

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Solution

The fourth proportional to 5,144.97, 7,716.12 and 2,024.97 is: 3,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.97 : 7,716.12 = 2,024.97 : x
  2. Step 2: Convert to fraction form
    5,144.97/7,716.12 = 2,024.97/x
  3. Step 3: Cross multiply
    5,144.97x = 7,716.12 × 2,024.97
  4. Step 4: Simplify right side
    5,144.97x = 15,624,911.52
  5. Step 5: Solve for x
    x = 15,624,911.52/5,144.97
  6. Step 6: Final answer
    x = 3,036.93

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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.