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Finding the Fourth Proportional to 3,963.68, 5,941.56 and 1,364.96

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Solution

The fourth proportional to 3,963.68, 5,941.56 and 1,364.96 is: 2,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.68 : 5,941.56 = 1,364.96 : x
  2. Step 2: Convert to fraction form
    3,963.68/5,941.56 = 1,364.96/x
  3. Step 3: Cross multiply
    3,963.68x = 5,941.56 × 1,364.96
  4. Step 4: Simplify right side
    3,963.68x = 8,109,991.74
  5. Step 5: Solve for x
    x = 8,109,991.74/3,963.68
  6. Step 6: Final answer
    x = 2,046.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.