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Finding the Fourth Proportional to 5,735.75, 7,915.05 and 3,218.13

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Solution

The fourth proportional to 5,735.75, 7,915.05 and 3,218.13 is: 4,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.75 : 7,915.05 = 3,218.13 : x
  2. Step 2: Convert to fraction form
    5,735.75/7,915.05 = 3,218.13/x
  3. Step 3: Cross multiply
    5,735.75x = 7,915.05 × 3,218.13
  4. Step 4: Simplify right side
    5,735.75x = 25,471,659.86
  5. Step 5: Solve for x
    x = 25,471,659.86/5,735.75
  6. Step 6: Final answer
    x = 4,440.86

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