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Finding the Fourth Proportional to 5,950.89, 8,204.76 and 3,822.66

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Solution

The fourth proportional to 5,950.89, 8,204.76 and 3,822.66 is: 5,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.89 : 8,204.76 = 3,822.66 : x
  2. Step 2: Convert to fraction form
    5,950.89/8,204.76 = 3,822.66/x
  3. Step 3: Cross multiply
    5,950.89x = 8,204.76 × 3,822.66
  4. Step 4: Simplify right side
    5,950.89x = 31,364,007.86
  5. Step 5: Solve for x
    x = 31,364,007.86/5,950.89
  6. Step 6: Final answer
    x = 5,270.47

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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.