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Finding the Fourth Proportional to 4,767.62, 6,576.30 and 3,443.27

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Solution

The fourth proportional to 4,767.62, 6,576.30 and 3,443.27 is: 4,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.62 : 6,576.30 = 3,443.27 : x
  2. Step 2: Convert to fraction form
    4,767.62/6,576.30 = 3,443.27/x
  3. Step 3: Cross multiply
    4,767.62x = 6,576.30 × 3,443.27
  4. Step 4: Simplify right side
    4,767.62x = 22,643,943.62
  5. Step 5: Solve for x
    x = 22,643,943.62/4,767.62
  6. Step 6: Final answer
    x = 4,749.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.