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Finding the Fourth Proportional to 3,692.90, 5,540.05 and 1,194.76

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Solution

The fourth proportional to 3,692.90, 5,540.05 and 1,194.76 is: 1,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.90 : 5,540.05 = 1,194.76 : x
  2. Step 2: Convert to fraction form
    3,692.90/5,540.05 = 1,194.76/x
  3. Step 3: Cross multiply
    3,692.90x = 5,540.05 × 1,194.76
  4. Step 4: Simplify right side
    3,692.90x = 6,619,030.14
  5. Step 5: Solve for x
    x = 6,619,030.14/3,692.90
  6. Step 6: Final answer
    x = 1,792.37

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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.