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Finding the Fourth Proportional to 3,963.81, 5,941.11 and 1,497.06

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Solution

The fourth proportional to 3,963.81, 5,941.11 and 1,497.06 is: 2,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.81 : 5,941.11 = 1,497.06 : x
  2. Step 2: Convert to fraction form
    3,963.81/5,941.11 = 1,497.06/x
  3. Step 3: Cross multiply
    3,963.81x = 5,941.11 × 1,497.06
  4. Step 4: Simplify right side
    3,963.81x = 8,894,198.14
  5. Step 5: Solve for x
    x = 8,894,198.14/3,963.81
  6. Step 6: Final answer
    x = 2,243.85

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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.