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Finding the Fourth Proportional to 5,735.70, 7,915.59 and 3,217.68

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Solution

The fourth proportional to 5,735.70, 7,915.59 and 3,217.68 is: 4,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.70 : 7,915.59 = 3,217.68 : x
  2. Step 2: Convert to fraction form
    5,735.70/7,915.59 = 3,217.68/x
  3. Step 3: Cross multiply
    5,735.70x = 7,915.59 × 3,217.68
  4. Step 4: Simplify right side
    5,735.70x = 25,469,835.63
  5. Step 5: Solve for x
    x = 25,469,835.63/5,735.70
  6. Step 6: Final answer
    x = 4,440.58

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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.