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Finding the Fourth Proportional to 3,938.62, 5,436.22 and 2,447.66

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Solution

The fourth proportional to 3,938.62, 5,436.22 and 2,447.66 is: 3,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.62 : 5,436.22 = 2,447.66 : x
  2. Step 2: Convert to fraction form
    3,938.62/5,436.22 = 2,447.66/x
  3. Step 3: Cross multiply
    3,938.62x = 5,436.22 × 2,447.66
  4. Step 4: Simplify right side
    3,938.62x = 13,306,018.25
  5. Step 5: Solve for x
    x = 13,306,018.25/3,938.62
  6. Step 6: Final answer
    x = 3,378.35

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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.