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Finding the Fourth Proportional to 6,478.97, 8,938.16 and 3,961.18

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Solution

The fourth proportional to 6,478.97, 8,938.16 and 3,961.18 is: 5,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.97 : 8,938.16 = 3,961.18 : x
  2. Step 2: Convert to fraction form
    6,478.97/8,938.16 = 3,961.18/x
  3. Step 3: Cross multiply
    6,478.97x = 8,938.16 × 3,961.18
  4. Step 4: Simplify right side
    6,478.97x = 35,405,655.71
  5. Step 5: Solve for x
    x = 35,405,655.71/6,478.97
  6. Step 6: Final answer
    x = 5,464.71

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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.