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Finding the Fourth Proportional to 5,192.29, 7,787.92 and 1,494.44

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Solution

The fourth proportional to 5,192.29, 7,787.92 and 1,494.44 is: 2,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.29 : 7,787.92 = 1,494.44 : x
  2. Step 2: Convert to fraction form
    5,192.29/7,787.92 = 1,494.44/x
  3. Step 3: Cross multiply
    5,192.29x = 7,787.92 × 1,494.44
  4. Step 4: Simplify right side
    5,192.29x = 11,638,579.16
  5. Step 5: Solve for x
    x = 11,638,579.16/5,192.29
  6. Step 6: Final answer
    x = 2,241.51

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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.