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Finding the Fourth Proportional to 3,843.99, 5,767.20 and 1,378.75

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Solution

The fourth proportional to 3,843.99, 5,767.20 and 1,378.75 is: 2,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.99 : 5,767.20 = 1,378.75 : x
  2. Step 2: Convert to fraction form
    3,843.99/5,767.20 = 1,378.75/x
  3. Step 3: Cross multiply
    3,843.99x = 5,767.20 × 1,378.75
  4. Step 4: Simplify right side
    3,843.99x = 7,951,527
  5. Step 5: Solve for x
    x = 7,951,527/3,843.99
  6. Step 6: Final answer
    x = 2,068.56

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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.