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Finding the Fourth Proportional to 5,950.59, 8,204.33 and 3,822.36

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Solution

The fourth proportional to 5,950.59, 8,204.33 and 3,822.36 is: 5,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.59 : 8,204.33 = 3,822.36 : x
  2. Step 2: Convert to fraction form
    5,950.59/8,204.33 = 3,822.36/x
  3. Step 3: Cross multiply
    5,950.59x = 8,204.33 × 3,822.36
  4. Step 4: Simplify right side
    5,950.59x = 31,359,912.37
  5. Step 5: Solve for x
    x = 31,359,912.37/5,950.59
  6. Step 6: Final answer
    x = 5,270.05

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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.