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Finding the Fourth Proportional to 4,516.72, 6,232.89 and 2,749.38

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Solution

The fourth proportional to 4,516.72, 6,232.89 and 2,749.38 is: 3,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.72 : 6,232.89 = 2,749.38 : x
  2. Step 2: Convert to fraction form
    4,516.72/6,232.89 = 2,749.38/x
  3. Step 3: Cross multiply
    4,516.72x = 6,232.89 × 2,749.38
  4. Step 4: Simplify right side
    4,516.72x = 17,136,583.11
  5. Step 5: Solve for x
    x = 17,136,583.11/4,516.72
  6. Step 6: Final answer
    x = 3,794.03

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Why These Related Problems?

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