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Finding the Fourth Proportional to 4,369.79, 6,546.11 and 2,884.49

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Solution

The fourth proportional to 4,369.79, 6,546.11 and 2,884.49 is: 4,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.79 : 6,546.11 = 2,884.49 : x
  2. Step 2: Convert to fraction form
    4,369.79/6,546.11 = 2,884.49/x
  3. Step 3: Cross multiply
    4,369.79x = 6,546.11 × 2,884.49
  4. Step 4: Simplify right side
    4,369.79x = 18,882,166.23
  5. Step 5: Solve for x
    x = 18,882,166.23/4,369.79
  6. Step 6: Final answer
    x = 4,321.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.