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Finding the Fourth Proportional to 3,975.63, 5,963.44 and 1,239.63

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Solution

The fourth proportional to 3,975.63, 5,963.44 and 1,239.63 is: 1,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.63 : 5,963.44 = 1,239.63 : x
  2. Step 2: Convert to fraction form
    3,975.63/5,963.44 = 1,239.63/x
  3. Step 3: Cross multiply
    3,975.63x = 5,963.44 × 1,239.63
  4. Step 4: Simplify right side
    3,975.63x = 7,392,429.31
  5. Step 5: Solve for x
    x = 7,392,429.31/3,975.63
  6. Step 6: Final answer
    x = 1,859.44

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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.