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Finding the Fourth Proportional to 3,891.63, 5,370.44 and 2,494.38

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Solution

The fourth proportional to 3,891.63, 5,370.44 and 2,494.38 is: 3,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.63 : 5,370.44 = 2,494.38 : x
  2. Step 2: Convert to fraction form
    3,891.63/5,370.44 = 2,494.38/x
  3. Step 3: Cross multiply
    3,891.63x = 5,370.44 × 2,494.38
  4. Step 4: Simplify right side
    3,891.63x = 13,395,918.13
  5. Step 5: Solve for x
    x = 13,395,918.13/3,891.63
  6. Step 6: Final answer
    x = 3,442.24

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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.