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Finding the Fourth Proportional to 4,013.92, 6,020.27 and 1,092.45

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Solution

The fourth proportional to 4,013.92, 6,020.27 and 1,092.45 is: 1,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.92 : 6,020.27 = 1,092.45 : x
  2. Step 2: Convert to fraction form
    4,013.92/6,020.27 = 1,092.45/x
  3. Step 3: Cross multiply
    4,013.92x = 6,020.27 × 1,092.45
  4. Step 4: Simplify right side
    4,013.92x = 6,576,838.50
  5. Step 5: Solve for x
    x = 6,576,838.50/4,013.92
  6. Step 6: Final answer
    x = 1,638.51

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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.