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Finding the Fourth Proportional to 3,902.44, 5,877.97 and 3,631.96

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Solution

The fourth proportional to 3,902.44, 5,877.97 and 3,631.96 is: 5,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.44 : 5,877.97 = 3,631.96 : x
  2. Step 2: Convert to fraction form
    3,902.44/5,877.97 = 3,631.96/x
  3. Step 3: Cross multiply
    3,902.44x = 5,877.97 × 3,631.96
  4. Step 4: Simplify right side
    3,902.44x = 21,348,551.92
  5. Step 5: Solve for x
    x = 21,348,551.92/3,902.44
  6. Step 6: Final answer
    x = 5,470.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.