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Finding the Fourth Proportional to 5,717.44, 8,576.16 and 1,768.06

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Solution

The fourth proportional to 5,717.44, 8,576.16 and 1,768.06 is: 2,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.44 : 8,576.16 = 1,768.06 : x
  2. Step 2: Convert to fraction form
    5,717.44/8,576.16 = 1,768.06/x
  3. Step 3: Cross multiply
    5,717.44x = 8,576.16 × 1,768.06
  4. Step 4: Simplify right side
    5,717.44x = 15,163,165.45
  5. Step 5: Solve for x
    x = 15,163,165.45/5,717.44
  6. Step 6: Final answer
    x = 2,652.09

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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.