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Finding the Fourth Proportional to 3,963.25, 5,941.12 and 1,882.19

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Solution

The fourth proportional to 3,963.25, 5,941.12 and 1,882.19 is: 2,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.25 : 5,941.12 = 1,882.19 : x
  2. Step 2: Convert to fraction form
    3,963.25/5,941.12 = 1,882.19/x
  3. Step 3: Cross multiply
    3,963.25x = 5,941.12 × 1,882.19
  4. Step 4: Simplify right side
    3,963.25x = 11,182,302.20
  5. Step 5: Solve for x
    x = 11,182,302.20/3,963.25
  6. Step 6: Final answer
    x = 2,821.50

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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.