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Finding the Fourth Proportional to 3,092.94, 4,634.00 and 2,576.25

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Solution

The fourth proportional to 3,092.94, 4,634.00 and 2,576.25 is: 3,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.94 : 4,634.00 = 2,576.25 : x
  2. Step 2: Convert to fraction form
    3,092.94/4,634.00 = 2,576.25/x
  3. Step 3: Cross multiply
    3,092.94x = 4,634.00 × 2,576.25
  4. Step 4: Simplify right side
    3,092.94x = 11,938,329.62
  5. Step 5: Solve for x
    x = 11,938,329.62/3,092.94
  6. Step 6: Final answer
    x = 3,859.86

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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.