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Finding the Fourth Proportional to 3,963.01, 5,946.24 and 1,884.48

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Solution

The fourth proportional to 3,963.01, 5,946.24 and 1,884.48 is: 2,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.01 : 5,946.24 = 1,884.48 : x
  2. Step 2: Convert to fraction form
    3,963.01/5,946.24 = 1,884.48/x
  3. Step 3: Cross multiply
    3,963.01x = 5,946.24 × 1,884.48
  4. Step 4: Simplify right side
    3,963.01x = 11,205,560.93
  5. Step 5: Solve for x
    x = 11,205,560.93/3,963.01
  6. Step 6: Final answer
    x = 2,827.54

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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.