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Finding the Fourth Proportional to 3,864.54, 5,333.94 and 2,744.31

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Solution

The fourth proportional to 3,864.54, 5,333.94 and 2,744.31 is: 3,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.54 : 5,333.94 = 2,744.31 : x
  2. Step 2: Convert to fraction form
    3,864.54/5,333.94 = 2,744.31/x
  3. Step 3: Cross multiply
    3,864.54x = 5,333.94 × 2,744.31
  4. Step 4: Simplify right side
    3,864.54x = 14,637,984.88
  5. Step 5: Solve for x
    x = 14,637,984.88/3,864.54
  6. Step 6: Final answer
    x = 3,787.77

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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.