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Finding the Fourth Proportional to 3,947.63, 5,448 and 2,455.61

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Solution

The fourth proportional to 3,947.63, 5,448 and 2,455.61 is: 3,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.63 : 5,448 = 2,455.61 : x
  2. Step 2: Convert to fraction form
    3,947.63/5,448 = 2,455.61/x
  3. Step 3: Cross multiply
    3,947.63x = 5,448 × 2,455.61
  4. Step 4: Simplify right side
    3,947.63x = 13,378,136.04
  5. Step 5: Solve for x
    x = 13,378,136.04/3,947.63
  6. Step 6: Final answer
    x = 3,388.91

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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.