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Finding the Fourth Proportional to 5,194.53, 7,787.14 and 1,906.85

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Solution

The fourth proportional to 5,194.53, 7,787.14 and 1,906.85 is: 2,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.53 : 7,787.14 = 1,906.85 : x
  2. Step 2: Convert to fraction form
    5,194.53/7,787.14 = 1,906.85/x
  3. Step 3: Cross multiply
    5,194.53x = 7,787.14 × 1,906.85
  4. Step 4: Simplify right side
    5,194.53x = 14,848,900.71
  5. Step 5: Solve for x
    x = 14,848,900.71/5,194.53
  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.