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Finding the Fourth Proportional to 4,945.86, 6,822.26 and 3,882.03

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Solution

The fourth proportional to 4,945.86, 6,822.26 and 3,882.03 is: 5,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.86 : 6,822.26 = 3,882.03 : x
  2. Step 2: Convert to fraction form
    4,945.86/6,822.26 = 3,882.03/x
  3. Step 3: Cross multiply
    4,945.86x = 6,822.26 × 3,882.03
  4. Step 4: Simplify right side
    4,945.86x = 26,484,187.55
  5. Step 5: Solve for x
    x = 26,484,187.55/4,945.86
  6. Step 6: Final answer
    x = 5,354.82

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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.