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Finding the Fourth Proportional to 3,799, 5,242.62 and 2,143.32

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Solution

The fourth proportional to 3,799, 5,242.62 and 2,143.32 is: 2,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799 : 5,242.62 = 2,143.32 : x
  2. Step 2: Convert to fraction form
    3,799/5,242.62 = 2,143.32/x
  3. Step 3: Cross multiply
    3,799x = 5,242.62 × 2,143.32
  4. Step 4: Simplify right side
    3,799x = 11,236,612.30
  5. Step 5: Solve for x
    x = 11,236,612.30/3,799
  6. Step 6: Final answer
    x = 2,957.78

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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.