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Finding the Fourth Proportional to 3,891.38, 5,370.10 and 2,494.94

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Solution

The fourth proportional to 3,891.38, 5,370.10 and 2,494.94 is: 3,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.38 : 5,370.10 = 2,494.94 : x
  2. Step 2: Convert to fraction form
    3,891.38/5,370.10 = 2,494.94/x
  3. Step 3: Cross multiply
    3,891.38x = 5,370.10 × 2,494.94
  4. Step 4: Simplify right side
    3,891.38x = 13,398,044.21
  5. Step 5: Solve for x
    x = 13,398,044.21/3,891.38
  6. Step 6: Final answer
    x = 3,443.01

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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.