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Finding the Fourth Proportional to 5,735.74, 8,600.97 and 2,270.62

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Solution

The fourth proportional to 5,735.74, 8,600.97 and 2,270.62 is: 3,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.74 : 8,600.97 = 2,270.62 : x
  2. Step 2: Convert to fraction form
    5,735.74/8,600.97 = 2,270.62/x
  3. Step 3: Cross multiply
    5,735.74x = 8,600.97 × 2,270.62
  4. Step 4: Simplify right side
    5,735.74x = 19,529,534.50
  5. Step 5: Solve for x
    x = 19,529,534.50/5,735.74
  6. Step 6: Final answer
    x = 3,404.88

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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.