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Finding the Fourth Proportional to 3,692.91, 5,097.26 and 2,181.87

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Solution

The fourth proportional to 3,692.91, 5,097.26 and 2,181.87 is: 3,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.91 : 5,097.26 = 2,181.87 : x
  2. Step 2: Convert to fraction form
    3,692.91/5,097.26 = 2,181.87/x
  3. Step 3: Cross multiply
    3,692.91x = 5,097.26 × 2,181.87
  4. Step 4: Simplify right side
    3,692.91x = 11,121,558.68
  5. Step 5: Solve for x
    x = 11,121,558.68/3,692.91
  6. Step 6: Final answer
    x = 3,011.60

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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.