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Finding the Fourth Proportional to 3,692.76, 5,530.33 and 2,129.49

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Solution

The fourth proportional to 3,692.76, 5,530.33 and 2,129.49 is: 3,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.76 : 5,530.33 = 2,129.49 : x
  2. Step 2: Convert to fraction form
    3,692.76/5,530.33 = 2,129.49/x
  3. Step 3: Cross multiply
    3,692.76x = 5,530.33 × 2,129.49
  4. Step 4: Simplify right side
    3,692.76x = 11,776,773.12
  5. Step 5: Solve for x
    x = 11,776,773.12/3,692.76
  6. Step 6: Final answer
    x = 3,189.16

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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.