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Finding the Fourth Proportional to 3,963.42, 5,471.82 and 2,392.02

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Solution

The fourth proportional to 3,963.42, 5,471.82 and 2,392.02 is: 3,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.42 : 5,471.82 = 2,392.02 : x
  2. Step 2: Convert to fraction form
    3,963.42/5,471.82 = 2,392.02/x
  3. Step 3: Cross multiply
    3,963.42x = 5,471.82 × 2,392.02
  4. Step 4: Simplify right side
    3,963.42x = 13,088,702.88
  5. Step 5: Solve for x
    x = 13,088,702.88/3,963.42
  6. Step 6: Final answer
    x = 3,302.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.