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Finding the Fourth Proportional to 5,735.24, 8,597.04 and 3,886.54

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Solution

The fourth proportional to 5,735.24, 8,597.04 and 3,886.54 is: 5,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.24 : 8,597.04 = 3,886.54 : x
  2. Step 2: Convert to fraction form
    5,735.24/8,597.04 = 3,886.54/x
  3. Step 3: Cross multiply
    5,735.24x = 8,597.04 × 3,886.54
  4. Step 4: Simplify right side
    5,735.24x = 33,412,736.57
  5. Step 5: Solve for x
    x = 33,412,736.57/5,735.24
  6. Step 6: Final answer
    x = 5,825.87

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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.