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Finding the Fourth Proportional to 3,258.30, 4,887.46 and 793.12

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Solution

The fourth proportional to 3,258.30, 4,887.46 and 793.12 is: 1,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.30 : 4,887.46 = 793.12 : x
  2. Step 2: Convert to fraction form
    3,258.30/4,887.46 = 793.12/x
  3. Step 3: Cross multiply
    3,258.30x = 4,887.46 × 793.12
  4. Step 4: Simplify right side
    3,258.30x = 3,876,342.28
  5. Step 5: Solve for x
    x = 3,876,342.28/3,258.30
  6. Step 6: Final answer
    x = 1,189.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.