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Finding the Fourth Proportional to 5,772.80, 7,969.12 and 3,382.45

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Solution

The fourth proportional to 5,772.80, 7,969.12 and 3,382.45 is: 4,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.80 : 7,969.12 = 3,382.45 : x
  2. Step 2: Convert to fraction form
    5,772.80/7,969.12 = 3,382.45/x
  3. Step 3: Cross multiply
    5,772.80x = 7,969.12 × 3,382.45
  4. Step 4: Simplify right side
    5,772.80x = 26,955,149.94
  5. Step 5: Solve for x
    x = 26,955,149.94/5,772.80
  6. Step 6: Final answer
    x = 4,669.34

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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.