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Finding the Fourth Proportional to 4,980.38, 6,872.67 and 2,741.83

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Solution

The fourth proportional to 4,980.38, 6,872.67 and 2,741.83 is: 3,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.38 : 6,872.67 = 2,741.83 : x
  2. Step 2: Convert to fraction form
    4,980.38/6,872.67 = 2,741.83/x
  3. Step 3: Cross multiply
    4,980.38x = 6,872.67 × 2,741.83
  4. Step 4: Simplify right side
    4,980.38x = 18,843,680.75
  5. Step 5: Solve for x
    x = 18,843,680.75/4,980.38
  6. Step 6: Final answer
    x = 3,783.58

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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.