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Finding the Fourth Proportional to 3,849.92, 5,307.36 and 2,744

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Solution

The fourth proportional to 3,849.92, 5,307.36 and 2,744 is: 3,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.92 : 5,307.36 = 2,744 : x
  2. Step 2: Convert to fraction form
    3,849.92/5,307.36 = 2,744/x
  3. Step 3: Cross multiply
    3,849.92x = 5,307.36 × 2,744
  4. Step 4: Simplify right side
    3,849.92x = 14,563,395.84
  5. Step 5: Solve for x
    x = 14,563,395.84/3,849.92
  6. Step 6: Final answer
    x = 3,782.78

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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.