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Finding the Fourth Proportional to 5,760.84, 8,634.42 and 3,297.36

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Solution

The fourth proportional to 5,760.84, 8,634.42 and 3,297.36 is: 4,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.84 : 8,634.42 = 3,297.36 : x
  2. Step 2: Convert to fraction form
    5,760.84/8,634.42 = 3,297.36/x
  3. Step 3: Cross multiply
    5,760.84x = 8,634.42 × 3,297.36
  4. Step 4: Simplify right side
    5,760.84x = 28,470,791.13
  5. Step 5: Solve for x
    x = 28,470,791.13/5,760.84
  6. Step 6: Final answer
    x = 4,942.12

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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.