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Finding the Fourth Proportional to 3,806.62, 5,256.36 and 3,180.49

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Solution

The fourth proportional to 3,806.62, 5,256.36 and 3,180.49 is: 4,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.62 : 5,256.36 = 3,180.49 : x
  2. Step 2: Convert to fraction form
    3,806.62/5,256.36 = 3,180.49/x
  3. Step 3: Cross multiply
    3,806.62x = 5,256.36 × 3,180.49
  4. Step 4: Simplify right side
    3,806.62x = 16,717,787.28
  5. Step 5: Solve for x
    x = 16,717,787.28/3,806.62
  6. Step 6: Final answer
    x = 4,391.77

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