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Finding the Fourth Proportional to 4,944.57, 6,823.23 and 2,706

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Solution

The fourth proportional to 4,944.57, 6,823.23 and 2,706 is: 3,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.57 : 6,823.23 = 2,706 : x
  2. Step 2: Convert to fraction form
    4,944.57/6,823.23 = 2,706/x
  3. Step 3: Cross multiply
    4,944.57x = 6,823.23 × 2,706
  4. Step 4: Simplify right side
    4,944.57x = 18,463,660.38
  5. Step 5: Solve for x
    x = 18,463,660.38/4,944.57
  6. Step 6: Final answer
    x = 3,734.13

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Why These Related Problems?

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