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Finding the Fourth Proportional to 4,576.69, 6,865.09 and 1,456.68

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Solution

The fourth proportional to 4,576.69, 6,865.09 and 1,456.68 is: 2,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.69 : 6,865.09 = 1,456.68 : x
  2. Step 2: Convert to fraction form
    4,576.69/6,865.09 = 1,456.68/x
  3. Step 3: Cross multiply
    4,576.69x = 6,865.09 × 1,456.68
  4. Step 4: Simplify right side
    4,576.69x = 10,000,239.95
  5. Step 5: Solve for x
    x = 10,000,239.95/4,576.69
  6. Step 6: Final answer
    x = 2,185.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.