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Finding the Fourth Proportional to 5,128.56, 7,692.84 and 1,232.97

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Solution

The fourth proportional to 5,128.56, 7,692.84 and 1,232.97 is: 1,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.56 : 7,692.84 = 1,232.97 : x
  2. Step 2: Convert to fraction form
    5,128.56/7,692.84 = 1,232.97/x
  3. Step 3: Cross multiply
    5,128.56x = 7,692.84 × 1,232.97
  4. Step 4: Simplify right side
    5,128.56x = 9,484,996.31
  5. Step 5: Solve for x
    x = 9,484,996.31/5,128.56
  6. Step 6: Final answer
    x = 1,849.45

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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.