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Finding the Fourth Proportional to 3,796.12, 5,692.80 and 1,330.48

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Solution

The fourth proportional to 3,796.12, 5,692.80 and 1,330.48 is: 1,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.12 : 5,692.80 = 1,330.48 : x
  2. Step 2: Convert to fraction form
    3,796.12/5,692.80 = 1,330.48/x
  3. Step 3: Cross multiply
    3,796.12x = 5,692.80 × 1,330.48
  4. Step 4: Simplify right side
    3,796.12x = 7,574,156.54
  5. Step 5: Solve for x
    x = 7,574,156.54/3,796.12
  6. Step 6: Final answer
    x = 1,995.24

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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.