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Finding the Fourth Proportional to 5,692.70, 8,537.12 and 2,181.88

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Solution

The fourth proportional to 5,692.70, 8,537.12 and 2,181.88 is: 3,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.70 : 8,537.12 = 2,181.88 : x
  2. Step 2: Convert to fraction form
    5,692.70/8,537.12 = 2,181.88/x
  3. Step 3: Cross multiply
    5,692.70x = 8,537.12 × 2,181.88
  4. Step 4: Simplify right side
    5,692.70x = 18,626,971.39
  5. Step 5: Solve for x
    x = 18,626,971.39/5,692.70
  6. Step 6: Final answer
    x = 3,272.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.