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Finding the Fourth Proportional to 4,192.92, 5,761.95 and 4,000.20

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Solution

The fourth proportional to 4,192.92, 5,761.95 and 4,000.20 is: 5,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.92 : 5,761.95 = 4,000.20 : x
  2. Step 2: Convert to fraction form
    4,192.92/5,761.95 = 4,000.20/x
  3. Step 3: Cross multiply
    4,192.92x = 5,761.95 × 4,000.20
  4. Step 4: Simplify right side
    4,192.92x = 23,048,952.39
  5. Step 5: Solve for x
    x = 23,048,952.39/4,192.92
  6. Step 6: Final answer
    x = 5,497.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.