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Finding the Fourth Proportional to 5,192.76, 7,787.52 and 1,906.10

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Solution

The fourth proportional to 5,192.76, 7,787.52 and 1,906.10 is: 2,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.76 : 7,787.52 = 1,906.10 : x
  2. Step 2: Convert to fraction form
    5,192.76/7,787.52 = 1,906.10/x
  3. Step 3: Cross multiply
    5,192.76x = 7,787.52 × 1,906.10
  4. Step 4: Simplify right side
    5,192.76x = 14,843,791.87
  5. Step 5: Solve for x
    x = 14,843,791.87/5,192.76
  6. Step 6: Final answer
    x = 2,858.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.