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Finding the Fourth Proportional to 3,761.62, 5,190.96 and 2,082.93

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Solution

The fourth proportional to 3,761.62, 5,190.96 and 2,082.93 is: 2,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.62 : 5,190.96 = 2,082.93 : x
  2. Step 2: Convert to fraction form
    3,761.62/5,190.96 = 2,082.93/x
  3. Step 3: Cross multiply
    3,761.62x = 5,190.96 × 2,082.93
  4. Step 4: Simplify right side
    3,761.62x = 10,812,406.31
  5. Step 5: Solve for x
    x = 10,812,406.31/3,761.62
  6. Step 6: Final answer
    x = 2,874.40

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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.