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Finding the Fourth Proportional to 5,193.78, 7,786.07 and 1,906.13

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Solution

The fourth proportional to 5,193.78, 7,786.07 and 1,906.13 is: 2,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.78 : 7,786.07 = 1,906.13 : x
  2. Step 2: Convert to fraction form
    5,193.78/7,786.07 = 1,906.13/x
  3. Step 3: Cross multiply
    5,193.78x = 7,786.07 × 1,906.13
  4. Step 4: Simplify right side
    5,193.78x = 14,841,213.15
  5. Step 5: Solve for x
    x = 14,841,213.15/5,193.78
  6. Step 6: Final answer
    x = 2,857.50

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1.5x scale

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.