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Finding the Fourth Proportional to 4,576.88, 6,865.33 and 1,289.98

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Solution

The fourth proportional to 4,576.88, 6,865.33 and 1,289.98 is: 1,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.88 : 6,865.33 = 1,289.98 : x
  2. Step 2: Convert to fraction form
    4,576.88/6,865.33 = 1,289.98/x
  3. Step 3: Cross multiply
    4,576.88x = 6,865.33 × 1,289.98
  4. Step 4: Simplify right side
    4,576.88x = 8,856,138.39
  5. Step 5: Solve for x
    x = 8,856,138.39/4,576.88
  6. Step 6: Final answer
    x = 1,934.97

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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.