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Finding the Fourth Proportional to 5,754.24, 8,611.92 and 3,564.81

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Solution

The fourth proportional to 5,754.24, 8,611.92 and 3,564.81 is: 5,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.24 : 8,611.92 = 3,564.81 : x
  2. Step 2: Convert to fraction form
    5,754.24/8,611.92 = 3,564.81/x
  3. Step 3: Cross multiply
    5,754.24x = 8,611.92 × 3,564.81
  4. Step 4: Simplify right side
    5,754.24x = 30,699,858.54
  5. Step 5: Solve for x
    x = 30,699,858.54/5,754.24
  6. Step 6: Final answer
    x = 5,335.17

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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.