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Finding the Fourth Proportional to 4,827, 6,661.84 and 2,731

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Solution

The fourth proportional to 4,827, 6,661.84 and 2,731 is: 3,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827 : 6,661.84 = 2,731 : x
  2. Step 2: Convert to fraction form
    4,827/6,661.84 = 2,731/x
  3. Step 3: Cross multiply
    4,827x = 6,661.84 × 2,731
  4. Step 4: Simplify right side
    4,827x = 18,193,485.04
  5. Step 5: Solve for x
    x = 18,193,485.04/4,827
  6. Step 6: Final answer
    x = 3,769.11

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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.