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Finding the Fourth Proportional to 5,772.09, 8,657.81 and 2,262.72

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Solution

The fourth proportional to 5,772.09, 8,657.81 and 2,262.72 is: 3,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.09 : 8,657.81 = 2,262.72 : x
  2. Step 2: Convert to fraction form
    5,772.09/8,657.81 = 2,262.72/x
  3. Step 3: Cross multiply
    5,772.09x = 8,657.81 × 2,262.72
  4. Step 4: Simplify right side
    5,772.09x = 19,590,203.44
  5. Step 5: Solve for x
    x = 19,590,203.44/5,772.09
  6. Step 6: Final answer
    x = 3,393.96

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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.