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Finding the Fourth Proportional to 5,660.90, 8,494.81 and 3,578.04

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Solution

The fourth proportional to 5,660.90, 8,494.81 and 3,578.04 is: 5,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.90 : 8,494.81 = 3,578.04 : x
  2. Step 2: Convert to fraction form
    5,660.90/8,494.81 = 3,578.04/x
  3. Step 3: Cross multiply
    5,660.90x = 8,494.81 × 3,578.04
  4. Step 4: Simplify right side
    5,660.90x = 30,394,717.64
  5. Step 5: Solve for x
    x = 30,394,717.64/5,660.90
  6. Step 6: Final answer
    x = 5,369.24

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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.