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Finding the Fourth Proportional to 5,201.73, 7,792.44 and 4,936.05

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Solution

The fourth proportional to 5,201.73, 7,792.44 and 4,936.05 is: 7,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.73 : 7,792.44 = 4,936.05 : x
  2. Step 2: Convert to fraction form
    5,201.73/7,792.44 = 4,936.05/x
  3. Step 3: Cross multiply
    5,201.73x = 7,792.44 × 4,936.05
  4. Step 4: Simplify right side
    5,201.73x = 38,463,873.46
  5. Step 5: Solve for x
    x = 38,463,873.46/5,201.73
  6. Step 6: Final answer
    x = 7,394.44

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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.