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Finding the Fourth Proportional to 3,937.82, 5,890.29 and 2,767.74

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Solution

The fourth proportional to 3,937.82, 5,890.29 and 2,767.74 is: 4,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.82 : 5,890.29 = 2,767.74 : x
  2. Step 2: Convert to fraction form
    3,937.82/5,890.29 = 2,767.74/x
  3. Step 3: Cross multiply
    3,937.82x = 5,890.29 × 2,767.74
  4. Step 4: Simplify right side
    3,937.82x = 16,302,791.24
  5. Step 5: Solve for x
    x = 16,302,791.24/3,937.82
  6. Step 6: Final answer
    x = 4,140.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.