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Finding the Fourth Proportional to 5,754.40, 7,942.48 and 3,769.76

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Solution

The fourth proportional to 5,754.40, 7,942.48 and 3,769.76 is: 5,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.40 : 7,942.48 = 3,769.76 : x
  2. Step 2: Convert to fraction form
    5,754.40/7,942.48 = 3,769.76/x
  3. Step 3: Cross multiply
    5,754.40x = 7,942.48 × 3,769.76
  4. Step 4: Simplify right side
    5,754.40x = 29,941,243.40
  5. Step 5: Solve for x
    x = 29,941,243.40/5,754.40
  6. Step 6: Final answer
    x = 5,203.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.