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Finding the Fourth Proportional to 5,576.31, 7,695.20 and 3,092.31

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Solution

The fourth proportional to 5,576.31, 7,695.20 and 3,092.31 is: 4,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.31 : 7,695.20 = 3,092.31 : x
  2. Step 2: Convert to fraction form
    5,576.31/7,695.20 = 3,092.31/x
  3. Step 3: Cross multiply
    5,576.31x = 7,695.20 × 3,092.31
  4. Step 4: Simplify right side
    5,576.31x = 23,795,928.45
  5. Step 5: Solve for x
    x = 23,795,928.45/5,576.31
  6. Step 6: Final answer
    x = 4,267.33

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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.