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Finding the Fourth Proportional to 4,944.81, 6,823.80 and 2,706.64

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Solution

The fourth proportional to 4,944.81, 6,823.80 and 2,706.64 is: 3,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.81 : 6,823.80 = 2,706.64 : x
  2. Step 2: Convert to fraction form
    4,944.81/6,823.80 = 2,706.64/x
  3. Step 3: Cross multiply
    4,944.81x = 6,823.80 × 2,706.64
  4. Step 4: Simplify right side
    4,944.81x = 18,469,570.03
  5. Step 5: Solve for x
    x = 18,469,570.03/4,944.81
  6. Step 6: Final answer
    x = 3,735.14

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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.