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Finding the Fourth Proportional to 5,735.25, 7,914.77 and 3,251.25

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Solution

The fourth proportional to 5,735.25, 7,914.77 and 3,251.25 is: 4,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.25 : 7,914.77 = 3,251.25 : x
  2. Step 2: Convert to fraction form
    5,735.25/7,914.77 = 3,251.25/x
  3. Step 3: Cross multiply
    5,735.25x = 7,914.77 × 3,251.25
  4. Step 4: Simplify right side
    5,735.25x = 25,732,879.71
  5. Step 5: Solve for x
    x = 25,732,879.71/5,735.25
  6. Step 6: Final answer
    x = 4,486.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.