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Finding the Fourth Proportional to 5,772.62, 8,619.94 and 5,738.06

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Solution

The fourth proportional to 5,772.62, 8,619.94 and 5,738.06 is: 8,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.62 : 8,619.94 = 5,738.06 : x
  2. Step 2: Convert to fraction form
    5,772.62/8,619.94 = 5,738.06/x
  3. Step 3: Cross multiply
    5,772.62x = 8,619.94 × 5,738.06
  4. Step 4: Simplify right side
    5,772.62x = 49,461,732.92
  5. Step 5: Solve for x
    x = 49,461,732.92/5,772.62
  6. Step 6: Final answer
    x = 8,568.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.