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Finding the Fourth Proportional to 3,770.52, 5,203.18 and 2,092

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Solution

The fourth proportional to 3,770.52, 5,203.18 and 2,092 is: 2,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.52 : 5,203.18 = 2,092 : x
  2. Step 2: Convert to fraction form
    3,770.52/5,203.18 = 2,092/x
  3. Step 3: Cross multiply
    3,770.52x = 5,203.18 × 2,092
  4. Step 4: Simplify right side
    3,770.52x = 10,885,052.56
  5. Step 5: Solve for x
    x = 10,885,052.56/3,770.52
  6. Step 6: Final answer
    x = 2,886.88

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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.