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Finding the Fourth Proportional to 6,190.47, 8,545.23 and 4,201.92

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Solution

The fourth proportional to 6,190.47, 8,545.23 and 4,201.92 is: 5,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.47 : 8,545.23 = 4,201.92 : x
  2. Step 2: Convert to fraction form
    6,190.47/8,545.23 = 4,201.92/x
  3. Step 3: Cross multiply
    6,190.47x = 8,545.23 × 4,201.92
  4. Step 4: Simplify right side
    6,190.47x = 35,906,372.84
  5. Step 5: Solve for x
    x = 35,906,372.84/6,190.47
  6. Step 6: Final answer
    x = 5,800.27

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