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Finding the Fourth Proportional to 3,873.42, 5,346 and 2,194.92

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Solution

The fourth proportional to 3,873.42, 5,346 and 2,194.92 is: 3,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.42 : 5,346 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    3,873.42/5,346 = 2,194.92/x
  3. Step 3: Cross multiply
    3,873.42x = 5,346 × 2,194.92
  4. Step 4: Simplify right side
    3,873.42x = 11,734,042.32
  5. Step 5: Solve for x
    x = 11,734,042.32/3,873.42
  6. Step 6: Final answer
    x = 3,029.38

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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.