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Finding the Fourth Proportional to 4,576.75, 6,344.81 and 4,327.30

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Solution

The fourth proportional to 4,576.75, 6,344.81 and 4,327.30 is: 5,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.75 : 6,344.81 = 4,327.30 : x
  2. Step 2: Convert to fraction form
    4,576.75/6,344.81 = 4,327.30/x
  3. Step 3: Cross multiply
    4,576.75x = 6,344.81 × 4,327.30
  4. Step 4: Simplify right side
    4,576.75x = 27,455,868.82
  5. Step 5: Solve for x
    x = 27,455,868.82/4,576.75
  6. Step 6: Final answer
    x = 5,998.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.