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Finding the Fourth Proportional to 5,194.72, 7,787.62 and 3,546.37

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Solution

The fourth proportional to 5,194.72, 7,787.62 and 3,546.37 is: 5,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.72 : 7,787.62 = 3,546.37 : x
  2. Step 2: Convert to fraction form
    5,194.72/7,787.62 = 3,546.37/x
  3. Step 3: Cross multiply
    5,194.72x = 7,787.62 × 3,546.37
  4. Step 4: Simplify right side
    5,194.72x = 27,617,781.94
  5. Step 5: Solve for x
    x = 27,617,781.94/5,194.72
  6. Step 6: Final answer
    x = 5,316.51

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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.