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Finding the Fourth Proportional to 3,795, 5,692.32 and 1,197.60

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Solution

The fourth proportional to 3,795, 5,692.32 and 1,197.60 is: 1,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,692.32 = 1,197.60 : x
  2. Step 2: Convert to fraction form
    3,795/5,692.32 = 1,197.60/x
  3. Step 3: Cross multiply
    3,795x = 5,692.32 × 1,197.60
  4. Step 4: Simplify right side
    3,795x = 6,817,122.43
  5. Step 5: Solve for x
    x = 6,817,122.43/3,795
  6. Step 6: Final answer
    x = 1,796.34

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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.