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Finding the Fourth Proportional to 3,587.82, 4,951.02 and 2,171.88

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Solution

The fourth proportional to 3,587.82, 4,951.02 and 2,171.88 is: 2,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.82 : 4,951.02 = 2,171.88 : x
  2. Step 2: Convert to fraction form
    3,587.82/4,951.02 = 2,171.88/x
  3. Step 3: Cross multiply
    3,587.82x = 4,951.02 × 2,171.88
  4. Step 4: Simplify right side
    3,587.82x = 10,753,021.32
  5. Step 5: Solve for x
    x = 10,753,021.32/3,587.82
  6. Step 6: Final answer
    x = 2,997.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.