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Finding the Fourth Proportional to 3,659.52, 5,051.44 and 2,167.96

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Solution

The fourth proportional to 3,659.52, 5,051.44 and 2,167.96 is: 2,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.52 : 5,051.44 = 2,167.96 : x
  2. Step 2: Convert to fraction form
    3,659.52/5,051.44 = 2,167.96/x
  3. Step 3: Cross multiply
    3,659.52x = 5,051.44 × 2,167.96
  4. Step 4: Simplify right side
    3,659.52x = 10,951,319.86
  5. Step 5: Solve for x
    x = 10,951,319.86/3,659.52
  6. Step 6: Final answer
    x = 2,992.56

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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.