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Finding the Fourth Proportional to 3,927.94, 5,893.26 and 1,981.51

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Solution

The fourth proportional to 3,927.94, 5,893.26 and 1,981.51 is: 2,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.94 : 5,893.26 = 1,981.51 : x
  2. Step 2: Convert to fraction form
    3,927.94/5,893.26 = 1,981.51/x
  3. Step 3: Cross multiply
    3,927.94x = 5,893.26 × 1,981.51
  4. Step 4: Simplify right side
    3,927.94x = 11,677,553.62
  5. Step 5: Solve for x
    x = 11,677,553.62/3,927.94
  6. Step 6: Final answer
    x = 2,972.95

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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.