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Finding the Fourth Proportional to 3,258.33, 4,887.44 and 793.15

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Solution

The fourth proportional to 3,258.33, 4,887.44 and 793.15 is: 1,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.33 : 4,887.44 = 793.15 : x
  2. Step 2: Convert to fraction form
    3,258.33/4,887.44 = 793.15/x
  3. Step 3: Cross multiply
    3,258.33x = 4,887.44 × 793.15
  4. Step 4: Simplify right side
    3,258.33x = 3,876,473.04
  5. Step 5: Solve for x
    x = 3,876,473.04/3,258.33
  6. Step 6: Final answer
    x = 1,189.71

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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.