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Finding the Fourth Proportional to 2,936.90, 4,042.14 and 2,576

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Solution

The fourth proportional to 2,936.90, 4,042.14 and 2,576 is: 3,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.90 : 4,042.14 = 2,576 : x
  2. Step 2: Convert to fraction form
    2,936.90/4,042.14 = 2,576/x
  3. Step 3: Cross multiply
    2,936.90x = 4,042.14 × 2,576
  4. Step 4: Simplify right side
    2,936.90x = 10,412,552.64
  5. Step 5: Solve for x
    x = 10,412,552.64/2,936.90
  6. Step 6: Final answer
    x = 3,545.42

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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.