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Finding the Fourth Proportional to 2,949.57, 4,044.03 and 2,896.92

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Solution

The fourth proportional to 2,949.57, 4,044.03 and 2,896.92 is: 3,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.57 : 4,044.03 = 2,896.92 : x
  2. Step 2: Convert to fraction form
    2,949.57/4,044.03 = 2,896.92/x
  3. Step 3: Cross multiply
    2,949.57x = 4,044.03 × 2,896.92
  4. Step 4: Simplify right side
    2,949.57x = 11,715,220.52
  5. Step 5: Solve for x
    x = 11,715,220.52/2,949.57
  6. Step 6: Final answer
    x = 3,971.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.